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Continuum theory, point-set topology, spaces with algebraic structure, foundations, dimension theory, local and global properties.

7 votes

What, if anything, can be said about continuous images of densely ordered spaces?

I will address Joel's easier question, the answer to which makes me guess that not much can be said in general. The rationals can be partitioned into countably many disjoint clopen subsets: for examp …
Noah Stein's user avatar
  • 8,501
3 votes

Three modifications of connectedness

First let me note that I agree with many of the comments and my answering the question should not be taken as disagreement. In particular, I find something off-putting about asking such a question on …
Noah Stein's user avatar
  • 8,501