Theresa May is urged to say what she knew of a Trident test "misfire" before a crucial vote by MPs.
The PM says she wants to build on the "special relationship" but will say if she finds things "unacceptable".
Andy Murray's hopes of winning a first Australian Open title end with a shock defeat by world number 50 Mischa Zverev.
Photo evidence appears to undermine the president's claims of high attendance at the inauguration.
Seven of those killed were in a Georgia trailer park apparently struck by a tornado.
The family of a teenager who died from a brain tumour has discovered dozens of previously unseen videos she made.
"Now we can build," a Jerusalem official says, as a staunch Israel supporter takes office in the US.
Georgia Galassi ate snow and cried under the avalanche at Rigopiano hotel till rescuers arrived.
But in a wide-ranging interview says it is too early to judge new US President Donald Trump.
Shadow chancellor John McDonnell says Labour must accept the Leave vote but oppose a "kamikaze" exit.
An injured Merseyside policeman whose wife won a legal battle to withdraw his treatment dies.
Entertainer Michelle McManus says on social media she was assaulted by a man wielding a guitar case.
An A&E nurse says she is asked by management how many hours she thinks dying patients will live - because they need the beds. From 5 live Investigates.
Chapecoense football team has played its first match since the plane crashed that killed most of its athletes.
Brazilian security forces hope shipping containers will separate warring gangs at a prison.
Chateau d'Oex in Switzerland is hosting its annual hot air balloon festival for the 39th time.
Theresa May is "not afraid" to tell Donald Trump if she finds his comments unacceptable.
T2 Trainspotting comes out in cinemas on 27 January.
Chile has requested international help to deal with forest fires.
Weather forecast for the UK
BBC coverage of latest developments as suspect in Berlin market attack is shot dead in Milan.
If the UK and the EU are going to have a trade agreement, it is best to get as many sectors covered as possible to reduce the chances of a WTO challenge.
An appeal over a post-Brexit trade deal was met with sniggers in Berlin, Damien McGuinness writes.
As the new president settles in, much of the world reaffirms its commitment to the Paris agreement.
We explore exactly what stretch marks are after model Chrissy Teigen shows hers off on Twitter.
As Martin McGuinness steps down, who will take over as Sinn Féin's leader in Northern Ireland?
As new-style secondary school league tables for England are published, we go through the changes.
Scientists have shortlisted three little-known diseases that they think could become the next global health emergency.
Photographs taken by BBC Middle East editor Jeremy Bowen as he takes a journey through eastern Aleppo's largely deserted streets.
A selection of the best photos from across Africa this week.
Photographs from inside a Turkish pigeon auction in Sanliurfa.
A selection of the best news photographs from around the world, taken over the past week.
World number one Andy Murray says his defeat by Mischa Zverev, ranked 50th, at the Australian Open is tough to take.
Ronnie O'Sullivan wins three frames in a row to tie the first session of the Masters final 4-4 against Joe Perry.
In Havana, stray cats and dogs prowl the streets. Responsibility for looking after them lies with the public - as Will Grant found when he befriended a ginger tomcat.
Each week, we publish a gallery of readers' pictures on a set theme. This week it is "My diet".
The vet who left behind her home in England to care for Sri Lanka’s street dogs.
Cambridge University has a professor of play, and more news nuggets.
Stories you may have missed in the past seven days, including the woman marrying a man who saved her life, and challenging the pseudo-science of alternative health cures.
A group of young men hopes to put Iraqi Kurdistan on the fashion map - and effect social change.
CEO Secrets asks four founders what it's like to turn a small company into a huge one.
A look at some of the events in the world of entertainment and arts over the past week, including the launch of Britain's Got Talent and Shakira meeting Gordon Brown.
More than half a million people demand to be heard a day after Donald Trump is elected.
Thousands of men, women and children took part in the Women's March in London.
Protesters against President Donald Trump and his supporters give their messages to each other.
Rallies take place as part of global protests on the first full day of Donald Trump's presidency.
From his bank balance to his lack of pets - here's how Donald Trump is making presidential history.
From leaving a note for his successor on the Oval Office desk to giving a final speech.
Twitter says it's resolving "complications" with the @Potus switchover, as some users claim they're following Trump against their will.