BBC News

1. Burnham cleared to run for selection in pivotal by-election

   If the Greater Manchester mayor goes on to win the by-election, he would be able to launch a leadership challenge against the PM.

2. How Rayner, Streeting and Burnham weakened PM in 12 hours of political drama

   Three interventions by three senior Labour politicians made for an unforgettable day in British politics.

3. Trump warns Taiwan against declaring independence, hours after summit with China's Xi

   The US president says he wants Beijing and Taipei to "cool down" tensions over the self-governing island.

4. Judge declares another mistrial in Harvey Weinstein New York rape case

   It marks the third time a New York jury has considered the case against the 74-year-old disgraced film mogul.

5. 'They took £20,000 I didn't owe': Parents hit by child maintenance errors

   John Hammond is one of 30 parents who told BBC Your Voice they'd experienced problems with the CMS.