The Prime Minister, who was ridiculed by opponents after refusing to take part in a major TV debate on Tuesday night, will suggest there could be a "brighter future" for the United Kingdom if there is a good deal with the European Union.
Corbyn, the left-wing Labour Party leader, had initially meant to skip the debate himself, since the Conservative prime minister would not be present, but, buoyed by new polling that shows his party closing on the Conservatives and an assured performance in a televised forum earlier in the week, he changed course and tried to goad May into joining him. Conservative leader Theresa May has refused to participate, delegating the task to her Home Secretary Amber Rudd.
He said: "I invite her to go to Cambridge and debate her policies, debate their record, debate their plans, debate their proposals and let the public make up their mind". She said she preferred "to get out and about and meet voters".
She said her campaign was "about getting out and about, meeting voters and hearing directly from voters".
'I think he ought to be paying a little more attention to thinking about Brexit negotiations.
"If you don't think Jeremy Corbyn is fit to be Prime Minister, if you don't think he's up to negotiating Brexit, if you oppose a second referendum - vote for Theresa May and her Conservative team".More news: Sanders slams Trump for insulting Germany, publicly attacking Merkel
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The Conservative policy would see elderly voters in England with more than £100,000 in assets have to pay for their social care costs.
Polls carried out since a suicide bombing killed 22 people in Manchester have shown the Conservatives' lead over Labour shrinking, suggesting prime minister Theresa May might not win the landslide predicted just a month ago.
Mr Corbyn highlighted Labour plans to invest £37 billion in the NHS and £8 billion in social care, with moves towards creating a National Care Service.
"I'm an advocate for infrastructure investment in the North. ut is so vitally important we get that infrastructure right". Jeremy Corbyn won't be flawless, he is a human being.
Green Party co-leader Caroline Lucas, the party's only MP and who will also take part in the debate, applauded Corbyn for his decision, while asking May whether she too would finally emerge from her "hiding place". However, taking part also holds risks for Mr Corbyn, who is likely to be attacked by Mr Nuttall on immigration and by Mr Farron on Brexit. It comes a day after a controversial seat-by-seat projection by YouGov predicted the Conservatives could lose 20 seats and Labour gain 28 seats, leading to a hung Parliament.
Back in the 2015 general election, Owen Jones became the subject of much mockery thanks to a column he wrote suggesting that Tories had reason to worry after Russell Brand endorsed Labour in the election.