Today Programme
BBC Radio 4

Former Business Secretary Sir Vince Cable says he is “worried” by the takeover of ARM Holdings.

The UK technology firm is to be bought by Japan's Softbank for £24bn ($32bn) it confirmed on Monday.

Sir Vince tells the Today programme that the government has no real legal powers to stop the sale if it looks like being a “bad takeover”.

Victoria Derbyshire

BBC assistant political editor Norman Smith says Theresa May wants to hold a vote on an issue that Conservatives can all agree on after the divisions of the EU referendum.

The prime minister also wants to "cause Labour maximum grief", he adds. Labour MPs are likely to end up in a "three-way split" of voting in favour, against or abstaining.

Today Programme
BBC Radio 4

MPs are to vote on whether to keep the Trident nuclear weapons system or scrap it. But what if it was left to the public to decide?

Joe Twyman of YouGov takes us through the polling.

Today Programme
BBC Radio 4

Shadow foreign secretary Emily Thornberry is asked what Labour's position is on Trident renewal.

"We are having a review and we are looking sensibly in a grown up way at all the options," said the former shadow defence secretary.

She adds that leader Jeremy Corbyn will always support unilateral disarmament but the party "has to come to a collective decision".

Mr Corbyn is expected to vote against today's motion on renewing Trident.

Today Programme
BBC Radio 4

Image source, PA

A little earlier on Today, shadow foreign secretary Emily Thornberry said she was going to abstain in Today's Trident vote "because, frankly the Tory government are playing games with us".

She claims that "the government is proceeding with [Trident renewal] in any event" and today's vote is "all about playing games with the Labour Party and trying embarrass us - and I can see no reason why we should indulge in it".

She also argues that a commitment to multilateral disarmament in negotiation with other nuclear powers "is, in this motion, an absolute afterthought" and the motion also does not go into details on costs.

Today Programme
BBC Radio 4

Some more lines from Defence Secretary Michael Fallon's interview on the Today programme. He said that not renewing the Trident missile system was a “gamble we simply can’t afford to take”.

He insisted that the country used the nuclear deterrent every day: “We need to be sure that [our enemies] are always unsure as to how we might respond and if we might retaliate.” 

Mr Fallon said that the main Trident contracts have still to be signed but added that some money had already been spent on items for the renewal that needed to be bought in advance.

Asked if the government was "playing games" with the Labour Party by holding the vote, the defence secretary said they were simply sticking to their word.

Labour leadership challengers Angela Eagle and Owen Smith are to hold a hustings later, to pitch for support from their parliamentary colleagues.

The two MPs have both launched bids to replace Jeremy Corbyn but Mr Smith has said only one of them should stand against the leader in the final vote.

He has indicated that he would withdraw from the contest if Ms Eagle won more support among Labour MPs.

The contest was prompted after Mr Corbyn lost a vote of no confidence.

Read more.

Today Programme
BBC Radio 4

Defence Secretary Michael Fallon tells Today that the government promised to renew the UK's nuclear weapons systems in its strategic defence review.

"It takes around 12 years to design and build a nuclear submarine," Mr Fallon says, and the present fleet of nuclear-armed submarines will become obsolete in the 2030s.

The government will also up a new "delivery body" to make sure the Trident replacement is delivered on time and on budget, the defence secretary adds.

Presenter John Humphrys asks him about the relevance of a "nuclear deterrent" when Western nations face a terrorist threat.

"We can't be sure what threats will come against Britain in the 2040s and 2050s," Mr Fallon says, claiming that the government wants to "deter any kind of adversary, whether it’s a country or a terrorist group".

Foreign Secretary Boris Johnson has arrived in Brussels to meet his European Union counterparts for the first time.

Ahead of talks Mr Johnson said that the UK must follow "the will of the people" and leave the EU, but that Britain should still play a leading role in Europe.

Watch an interview here.

Image source, PA

MPs are set to decide on whether to renew Britain's nuclear weapons programme in a Commons vote later.

In her first statement to Parliament as prime minister, Theresa May will say it would be a "gross irresponsibility" for the UK to abandon its nuclear weapons.

Labour is split, with Jeremy Corbyn opposing renewal, but the party's MPs will get a free vote on the issue.

The SNP - which will oppose Trident renewal - had called for the vote to be delayed to allow "proper scrutiny".

Read more.

More reaction to new Transport Secretary Chris Grayling's comments to the BBC's World This Weekend programme earlier.

During the interview, he said he would "move quickly" on a decision about whether there should be airport expansion at Heathrow or Gatwick.

A spokesman for Heathrow said: "We welcome the transport secretary's comments promising a rapid decision on airport expansion today.

"Heathrow expansion has significant business and political support across the country and is the best way to keep the UK a great trading nation post Brexit."

Alex Burton of BBC Radio 4's The Briefing Room has taken a look at this intriguing question.

He writes that according to Stian Westlake, Head of Research at the think tank Nesta: "If you look at someone's class status and their income, and you try and use that to guess whether or not they voted Remain, it turns out it's not that much better than guesswork.

"If you look at attitudes to questions such as, 'Do you think criminals should be publicly whipped?' or 'Are you in favour of the death penalty?' - those things are much better predictors, and you get over 70% accuracy," he says.

His figures come from the British Election Study, in which around 24,000 people were asked about their voting intentions in the EU referendum.

Image source, Brexit Briefing by Prof Eric Kaufman of Birkbeck College

Image source, HS2

The new transport secretary, Chris Grayling, has said he has no plans to scrap the high-speed HS2 rail project.

But the Stop HS2 campaign group had called on Mr Grayling to urgently review the project on cost grounds, and the effect on towns and cities near the route.

Last week the pressure group called on the government of new Prime Minister Theresa May to undertake a fresh review of the rail project, saying a failure to do so would be "irresponsible".

Its campaign manager Joe Rukin told the BBC a recent National Audit Office report had indicated that HS2 was £9bn over budget.

He also said the project had failed a recent Department for Transport review, on the issues of both costs and the scheduling of work.

He said that for these reasons HS2 should not be allowed to commence with its tendering processes.

There are some key difference in the rules for who can vote in the Labour leadership contest compared to the 2015 contest.

Jeremy Corbyn's campaign team have put together a "vote check", externalto advise people whether they are eligible to vote.

The BBC also has a guide to the rules of the contest, and who can vote.

Labour leadership challenger Owen Smith outlines his ideas, like re-writing Clause IV to emphasise tackling inequality.

Remember the rise of Milifandom during the 2015 general election, which saw youngsters declare then Labour leader Ed Miliband a heart throb? 

Abby Tomlinson, the teenager who started Milifandom, was on the stage at Owen Smith's launch event. Could she be about to launch a "Smithifandom" campaign?