Eliza Wajch

2 Questions 20 Answers 0 Followers

Questions related from Eliza Wajch

Is there a model for ZF in which a topological group can fail to be completely regular?

I know that It holds true in ZFC (even in ZF+DC) that every topological group is completely regular. It is also known to me that, in some models for ZF, a topology induced by a uniformity can be...

02 June 2016 1,485 2 View

How strongly does Hilbert projection theorem depend on CC?

In the standard proof of Hilbert projection theorem the axiom of countable choice (denoted by CC) is used. I wonder whether there is a model of ZF+ the negation of CC in which Hilbert projection...

01 January 1970 6,717 3 View