ok... so you're saying migration from the EU is causing the homeless in London.
funnily enough, if you read Shelter's website, they don't put the EU near the top of the list... in fact its not even on the list.
http://england.shelter.org.uk/campaigns_/why_we_campaign/tackling_homelessness/What_causes_homelessness
But I'll take it you don't like experts...
I'm guessing that you think people in the UK are homeless because immigrants have "come over here and taken their jobs"
in which case i challenge you to find me a single employer in the UK who wouldn't rather employ a Brit. The reasons they don't are plentiful, and the reasons they have to look abroad for labour is not because of the EU, but the fact the EU provides it is in my view a positive.
Also you'll see that because the UK doesn't have an unemployment problem, even in a post Brexit UK we'll still have to have our doors open to unskilled labour from Eastern Europe. This from David Davis this week.
Link from the Sun, so I can't be accused of linking to liberal elite media.
https://www.thesun.co.uk/news/2923654/david-davis-promises-eastern-europe-uks-doors-will-stay-open-to-low-skilled-migrants/
EU workers will stay in the UK for “years and years” according to the Brexit minister – because Brits aren’t yet ready to fill their jobs.
David Davis made the comments as he sought to reassure Europe that Britain will keep its doors open to low-skilled workers in industries such as hospitality, agriculture and social care.