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Continuum theory, point-set topology, spaces with algebraic structure, foundations, dimension theory, local and global properties.
15
votes
1
answer
568
views
Continuous images of $\beta \mathbb{N} \setminus\mathbb{N}$
Let $\beta \mathbb{N}$ denote the Stone-Cech compatification of the natural numbers and $\beta \mathbb{N} \setminus\mathbb{N}$
denote the reminder of this compactification. I wonder if there is a char …
3
votes
1
answer
163
views
Nonmetrizable Corson compacta with ccc
It is known that under $MA+ \neg CH$, every Corson compact space with the countable chain condition (ccc) is merizable. It is also known that, under $CH$, there exist nonmetrizable Corson compact spac …