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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 …
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 …