⚽️ Updates from 4.30pm GMT kick-off
⚽️ Premier League table | Email Tim

3 min Chance! Grealish and Mykolenko combine to push Everton into the box, but nobody can get a shot in. Then Ndiaye wriggles down the right, past Spence, and cuts back to Beto – who can only deflect it to Grealish. His shot is well blocked by … someone.

2 min Everton go long and for one mad moment it looks as if two of their players are through, but the ball bounces kindly for Vicario.

Liberal Democrats are exploring options while calling for crown estate and prince to give evidence under oath

Prince Andrew could face a parliamentary debate on his conduct despite the government so far refusing to allocate time in the House of Commons, as the Liberal Democrats indicated they were exploring ways of raising the issue including in an opposition day debate.

Andrew is reportedly in advanced talks with the king’s representatives over moving out of the 30-room Grade II-listed Royal Lodge at Windsor, despite his “cast-iron” lease running until 2078.

Scott Bessent said plan was part of framework for trade deal but did not share details on transferring app’s ownership

• Murdoch, Ellison and China: what we know about the US’s TikTok deal

US treasury secretary Scott Bessent claimed on Sunday that the US and China have finalized the details of a deal transferring TikTok’s US version to new owners.

“We reached a final deal on TikTok,” Bessent said on Sunday on CBS’s Face the Nation with Margaret Brennan. Alluding to Donald Trump and his Chinese counterpart, Xi Jinping, Bessent continued: “We reached [a deal] in Madrid, and I believe that as of today, all the details are ironed out, and that will be for the two leaders to consummate that transaction” during a meeting scheduled for Thursday in Korea.

It had to be him. Eberechi Eze would not have wished his first Arsenal Premier League goal to come against Crystal Palace. Partly because they are his former employers, but more because it means it has taken a while to arrive.

However, delayed gratification can be satisfying and Eze’s timing was impeccable. With Liverpool suffering a fourth consecutive league defeat at Brentford on Saturday night, Arsenal had a gap to extend. Opportunities such as Sunday presented must not be missed if a title is to be won.

For Manchester City and Erling Haaland, another fruitless visit to Villa Park. It was not quite last season, when defeat here approaching Christmas was a ninth in a dozen matches, but it was equally painful. With a minute of regular time to play, Haaland clattered into a post after meeting a cross by Omar Marmoush, having squeezed the ball over the Aston Villa goalline. But the assistant referee raised his flag and, as Haaland lay wincing, a check from the video assistant referee confirmed the goal would not stand.

There is sufficiently much more positivity surrounding Pep Guardiola’s side at present but this proved another frustrating trip, Matty Cash’s superbly taken strike ultimately the difference. Villa have now won their last four Premier League matches.

As memorial marks 100 years, Gerard Baker, park’s Native American ex-superintendent believes if Rushmore’s story is told the right way, ‘people are going to be leaving pissed’

Despite suffering heart attacks, strokes and the effects of diabetes, Gerard Baker can still easily lift an 80-lb bag of feed for the cows he raises on his south-east Montana ranch. On the sprawling 640-acre property of pine and cottonwoods, buffalo grass and blue grass, Baker drives out early in the mornings to feed his cows and think about what he could have done differently.

On 1 June 2004, Gerard Baker became the first Native American superintendent at Mount Rushmore national memorial, and his six years at the helm were both transformative and turbulent.

From infrared saunas to LED beauty masks, a billion-dollar market has grown around the healing power of light. But where does the science end and the hype begin?

Light therapy is certainly having a moment. You can now buy glowing gadgets for everything from skin conditions and wrinkles to sore muscles and gum disease, the latest being a toothbrush enhanced with tiny red LEDs, described by its makers as “a breakthrough in at-home oral care”. Globally, the market was worth $1bn in 2024 and is projected to grow to $1.8bn by 2035. You can even go and sit in an infrared sauna, where instead of hot coals (real or electric) heating the air, your body is warmed directly by infrared light. According to its devotees, it’s like bathing in one of those LED-lit beauty masks, boosting skin collagen, relaxing muscles, relieving inflammation and chronic health conditions while protecting against dementia.

“It sounds a bit like witchcraft,” says Paul Chazot, professor in neuroscience at Durham University and a convert to the value of light therapy following 20 years of research in the field. Of course, some of light’s effects on our bodies are well established. Sunlight helps us make vitamin D, needed for bone health, immunity, muscles and more. Sunlight regulates our circadian rhythms, too, triggering the release of neurochemicals and hormones while we are awake, and winding down bodily functions for sleep as it fades into night. Sunlight-imitating lamps are a common remedy for people with seasonal affective disorder (Sad) to boost low mood in winter. So there’s no doubt we need light energy to function well.

Arches London Bridge
New show I Love It Here is billed as a departure from the comedian’s familiar neurotic self-analysis, but it proves frustratingly unchallenging

“An exciting departure from [his] previous work,” claims the publicity for Simon Amstell’s new standup show – but it’s a claim that proves hard to substantiate. Like any Amstell set, I Love It Here is self-analytical to an absurd degree – and this level of forensic solipsism, from this clever and funny a man, can’t help but be engaging. But departure it is not – and indeed, I found it frustrating how Amstell’s concerns have not moved on a jot in a show largely about his disappointment (“pain”, he would call it) that his crush on a famous singer isn’t reciprocated.

The abiding impression, of a show set at a star-studded Hollywood party, is of an artist whose life (and creative output) might benefit from a little more friction. We encounter Amstell at the start of this set blissful with his partner of 14 years, increasingly at ease with himself after overcoming shame. But an invitation to a Tinseltown bash, where his erstwhile teenage crush will be in attendance, brings out Simon’s wounded inner child. And so we’re pitched into a long anecdote in which fretful Amstell butterflies around with Baz Luhrmann, Viola Davis and Charli xcx, seeking to absolve his childhood agonies by coupling up with an unnamed pop hunk.

The Guardian’s picture editors select photographs from around the world

The head coach must add steel to halt Australia, with Morgan Smithies and AJ Brimson pushing for starts

The scoreline alone offers concrete evidence of how underwhelming England were against Australia in the first Ashes Test on Saturday, but if anyone needed further proof, a glimpse around the Wembley crowd was somewhat telling, too.

As a one-sided contest ebbed towards a predictable conclusion, there were cheers among those sitting near the press box. Not for an England try, but for a paper aeroplane crafted by a home supporter that had successfully made its way from the top of one tier on to the pitch. It was about the only thing that went right for those of an English persuasion.

Behind every meme and message is creaking, decades-old infrastructure. Internet experts can think of scenarios that could bring it all crashing down …

It is the morning after the internet went offline and, as much as you would like to think you would be delighted, you are likely to be wondering what to do.

You could buy groceries with a chequebook, if you have one. Call into work with the landline – if yours is still connected. After that, you could drive to the shop, as long as you still know how to navigate without 5G.

• Plus updates from Hearts v Celtic

• Mail Emillia with your thoughts

Mary Waltz has messaged in from the US to say:

“Greetings from California. I consider myself a rational human so I ignore the recent spate of end of the world predictions. But with Hearts running Celtic off the pitch, Sunderland second in the table, who knows.....?”

⚽️ Updates from La Liga game at the Bernabéu
⚽️ La Liga table | Email Billy

The teams are out at the Bernabéu. The roof is closed and it’s bound to be loud. Kick-off is a couple of minutes away.

Another subplot of today’s game is the collapse of La Liga’s plans to play Barcelona’s away game at Villarreal in Miami in December.

Storm could intensify further, threatening to cause catastrophic flooding in the northern Caribbean, including Haiti

Hurricane Melissa strengthened into a powerful category 4 hurricane on Sunday, threatening days of catastrophic winds and rain in the northern Caribbean, with some residents in vulnerable areas of Jamaica refusing to evacuate.

Jamaican officials urged those in low-lying and flood-prone areas to seek refuge in the more than 650 shelters activated on the island as Melissa rapidly climbs up the Saffir-Simpson hurricane wind scale with the possibility of intensifying to a category 5 storm on Sunday night.

We did not witness the making of history at Tynecastle. It remains far too early for that kind of thing. What this match did emphasise is that Hearts are at least in with a serious opportunity of ending Scottish football’s four decade-long title duopoly. Make that an eight-point lead for Hearts over Celtic, whom they comfortably swatted aside. Catch them if you can.

Three second-half minutes were key, after an opening period that was contested closely. What was so notable after Hearts surged 3-1 in front was how stress-free the remainder of the game was for the home side. Alexandros Kyziridis scored Hearts’ second, cutting in from the left before thumping a right-footed shot past the motionless Kasper Schmeichel. Soon there was further euphoria in the stands, Dane Murray upending Cláudio Braga for a penalty that Lawrence Shankland tucked away. Brendan Rodgers, the Celtic manager, cut such a disconsolate figure; he hardly has his troubles to seek.

Full report to follow

The doctors told me I would need a second mastectomy and extensive chemotherapy. I felt like I’d been hit by a truck

• Read more in the kindness of strangers series

I’ve had more good sex than most people have had hot dinners, so when I found a lump in my breast and knew straight away it was cancer, I thought this is fine. I’ve had my fun. I’ll have a mastectomy, get it done and get on with my life.

But when I came out of surgery, I was wheeled into a hospital room shared with one other woman. The doctors closed the curtain around us, sat down and told me the cancer had spread to my lymph nodes and my other breast. I would need a second mastectomy and an extensive course of chemo. I felt as if I’d been hit by a truck. I couldn’t believe it.

Lawsuit against Kamehameha schools by Students for Fair Admissions, a neoconservative non-profit, alleges discrimination against non-Hawaiians

Advocates for a private school system established to educate Native Hawaiians say a new lawsuit targeting the admissions process is an ugly attempt to ignore the wishes of a Hawaiian princess who bequeathed her inheritance to secure a brighter future for her people nearly 140 years ago.

The Kamehameha schools were established in the will of Bernice Pauahi Bishop, the great-granddaughter of Kamehameha I and the last royal descendant in the Kamehameha line. At the time of her death in 1884, the princess’s estate held about 9% of the island chain’s total acreage.

The long-running series in which readers answer other readers’ questions on subjects ranging from trivial flights of fancy to profound scientific and philosophical concepts

Why aren’t more animals hermaphrodites? Snails and worms seem to have been successful using that method for sharing genes between any two individuals, but vertebrates evolved away from it. Why? Janet Lesley, Kent, UK

Send new questions to nq@theguardian.com.

A tour of the mayoral hopeful’s Jewish outreach reveals an electorate fractured over Israel and grappling with his historic candidacy in radically different ways

Securing Jewish votes was never going to be a straightforward ride for Zohran Mamdani, the New York City mayoral hopeful who is on track to become the most prominent Palestine supporter to assume elected office in the US – in the most Jewish city outside Israel, no less.

The notion that he could sparks outright panic in some quarters.

Forget ordering a takeaway: the perfect home-cooked Chinese favourite is but nine simple steps away …

Sweet-and-sour sauce, which hails from the southern Chinese city of Guangzhou and is much loved in nearby Hong Kong, has been a victim of its own popularity – you can now buy sweet-and-sour-flavour Pot Noodles, crisps and even dips. But, when made with care, the crunchy meat, tangy sauce and sweet fruit will remind you why you fell for it in the first place.

Prep 20 min
Marinate 30 min+
Cook 10 min
Serves 2

The president’s move is less an example of American exceptionalism than part of a familiar pattern

Amid all the horrors of the second Trump administration, the demolition of the East Wing is hardly in the top 10. But it provides a powerful symbol of wanton destruction – and, as Trump himself knows full well, images matter greatly in politics. It also curiously combines so many elements of a distinctly Trumpian approach to government: shameless falsehoods about the proposed ballroom (“It won’t interfere with the current building. It’ll be near it but not touching it”); complete disregard for legislation (in this case rules about preservation), and unprecedented levels of cronyism (with CEOs trying to curry favor with the president through donations to a grotesque project of self-aggrandizement). There is also something very poignant about the destruction of an edifice which had provided an office of one’s own for first ladies. For all these peculiarities, Trump’s disfiguring the White House fits into a larger global trend: far-right populist leaders in many countries have used spectacular architecture to advance their political agenda and, more particularly, to set their vision of a “real people” – as in “real Americans”, “real Hungarians” et cetera – in stone.

Just before Christmas 2020, in the dying days of his first administration, Trump had already taken time off from his busy schedule promoting the big lie about having won the election in order to issue an executive order entitled “Promoting Beautiful Federal Civic Architecture”. The order made “classicism” the preferred style for new federal buildings, stopping just short of banning modernism entirely. Biden rescinded the order; Trump brought a version of it back right on inauguration day this year. What is almost entirely forgotten is that the 2020 order had belonged together with Trump’s “1776 commission”, the ill-fated attempt to whitewash US history; both the architecture orders and the instructions for history teaching were meant to promote an image of the US as pure and “beautiful”.

Jan-Werner Müller is a Guardian US columnist and a professor of politics at Princeton University

Millions took to US streets to oppose authoritarianism as Democrats acknowledge ‘People want to see us fighting’

They marched in their millions. Some waved the Stars and Stripes. Some clutched signs with slogans such as: “Nothing is more patriotic than protesting.” And some donned inflatable costumes that included aliens, chickens, clowns, frogs, lobsters, mushrooms, penguins, seahorses, sharks, squirrels, starfish and unicorns.

The energy of last weekend’s No Kings protests against Donald Trump’s authoritarianism was palpable and peaceful, drawing an estimated 7 million people to 2,700 rallies across the country. Among them were the Democratic senators Cory Booker, Ed Markey, Chris Murphy, Adam Schiff, Chuck Schumer, Raphael Warnock and Elizabeth Warren as well as the independent Bernie Sanders.

After a bizarre contest in which both government candidates blew their chances, the left has shown it can unite to win

The magical ingredient required to become the president of Ireland is as mysterious as what Coca-Cola puts into its fizzy drink, but legions of voters think Catherine Connolly has it. The leftwing, independent TD (member of parliament) with the quiet composure and austere appearance of a contemplative nun has won an overwhelming victory to succeed the outgoing national treasure, 84-year-old poet Michael D Higgins. Her choice as the republic’s 10th head of state in a contest so bizarre it might have been scripted by Basil Fawlty has left the two government parties reeling.

Fianna Fáil’s candidate, Jim Gavin, hand-picked by the taoiseach, Micheál Martin, for his accomplishments in sport and the cultural bastion of the Gaelic Athletic Association, withdrew after it emerged he had failed since 2009 to refund €3,300 owed to a former tenant. Gavin’s name remained on the ballot paper as a ghost candidate. How Martin must rue the day Live Aid founder Bob Geldof phoned him last summer seeking the party’s nomination and he demurred because he already had Gavin in mind.

Justine McCarthy is a columnist with the Irish Times

From the drip catchers of coffee pots to the typewriter she used for her first works, the International Booker prize-winning writer reflects on the hidden significance of everyday items

Drip catcher
The carpet hangers disappeared from the rear courtyards when wall-to-wall carpeting and vacuum cleaners were introduced – when the Persian carpets had been bombed away, when there was no money to buy new ones, when the men who used to carry the rolled-up carpets down the stairs for cleaning had been killed in the war.

The shop where I used to take my tights to get them mended when they had a run in them, back when I was a little girl – a shop called “Run Express” – disappeared when the Wall came down and the west was able to sell its cheap tights in the east.