Skip to main content

All Questions

Filter by
Sorted by
Tagged with
7 votes
5 answers
1k views

the example of ccc but not separable

I am interested in the relation between the property of countable chain condition (ccc) and the property of separable. Could someone recommend some papers or books about this to me? thanks in advance.
Paul's user avatar
  • 654
4 votes
0 answers
333 views

Is this result of Hajnal and Juhász correct?

I am having some trouble with the following result presented here: Obviously I'm missing something, but I think from that result it could be shown that if $X$ is an infinite topological space, then $...
Peluso's user avatar
  • 674
3 votes
2 answers
510 views

Is there a countable pseudocharacter Hausdorff space,such that...?

Let X be a Hausdorff space and Difine the Property A as following: if $\mathscr{U}$ is a collection of open sets of X that witnesses Hausdorff property of X (= $\forall x,y \in X$, there exist two ...
Paul's user avatar
  • 654
2 votes
0 answers
371 views

Descriptive set theory on $\mathbb{R}^\mathbb{N}$

The short version of my question is, What is a good source for learning about descriptive set theory on the space $\mathbb{R}^\mathbb{N}$, under the product topology coming from the discrete topology ...
Noah Schweber's user avatar