Why are our homes and cities all so hot?

In the week when the hottest May days were recorded, environment editor Fiona Harvey examines a new Climate Change Committee report on how the UK can better withstand extreme heat. Help support our independent journalism at theguardian.com/infocus

A landmark report has warned that the UK risks a ‘lost generation’ of young people, as new figures show that more than 1 million 16- to 24-year-olds in the UK were not in education, employment or training. The former Labour cabinet minister Alan Milburn said youth disengagement was a mounting economic risk to the country, and urged a fundamental reset of policy covering schools, the health service and the welfare state. Lucy Hough speaks to the Guardian’s senior economics correspondent, Richard Partington – watch on YouTube. Help support our independent journalism at theguardian.com/infocus

The UN’s special rapporteur for Palestine, Francesca Albanese, on the war in Gaza, living under US sanctions and accusations of antisemitism. Help support our independent journalism at theguardian.com/infocus

Peter Mandelson’s links with senior figures in China, Russia and Israel were among the concerns raised by the UK’s vetting agency when it concluded he should be denied clearance, multiple sources have told the Guardian. It comes after a powerful parliamentary committee said the government was failing to fully comply with a parliamentary motion ordering the release of all papers relating to Mandelson’s appointment. A spokesperson for Hayman said he “has no personal connection or familiarity whatsoever” with Mandelson, and his contact with him was limited to work the British politician did for his thinktank. A Cabinet Office spokesperson said it was “committed to complying with the Humble Address in full”. Lucy Hough speaks to the head of investigations Paul Lewis – watch on YouTube. Help support our independent journalism at theguardian.com/infocus

Sirin Kale on the BBC Panorama investigation into Married at First Sight UK. Help support our independent journalism at theguardian.com/infocus

The US has launched fresh strikes on Iran despite suggestions that a peace deal could be within reach. Donald Trump faces growing criticism from Republicans over the proposed plan to end the war, which reportedly contained major concessions from Washington. But could an agreement still be imminent? Lucy Hough speaks to diplomatic editor Patrick Wintour – watch on YouTube. Help support our independent journalism at theguardian.com/infocus

Josh Halliday on why Manchester mayor Andy Burnham is tipped to be the future Labour leader … if he wins the Makerfield byelection. Help support our independent journalism at theguardian.com/infocus

The UK is experiencing record-breaking temperatures in an unprecedented May heatwave, while large parts of Europe are also facing blistering conditions. As the climate crisis makes extreme heat more likely, are we prepared? Lucy Hough speaks to the Guardian reporter Helena Horton – watch on YouTube. Help support our independent journalism at theguardian.com/infocus

Senior Middle East correspondent Emma Graham-Harrison on a pair of laws recently passed by the Israeli parliament to bring back the death penalty – seemingly only for Palestinians. Help support our independent journalism at theguardian.com/infocus

The US supreme court has preserved nationwide access to mail-order abortion pills, for now. As Carter Sherman explains, the fight to protect this medication is far from over, as a near-total abortion ban could be on the horizon. Carter speaks with Dr Angel Foster, a co-founder of the Massachusetts Medication Abortion Access Project, who reveals how the legal battle over abortion pills has affected patients across the US – and what could happen next. Help support our independent journalism at theguardian.com/infocus