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Results tagged with gn.general-topology
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user 104842
Continuum theory, point-set topology, spaces with algebraic structure, foundations, dimension theory, local and global properties.
-2
votes
1
answer
111
views
Is this space discrete? [closed]
Let X be a Tychonoff space such that for any closed set A there exist a continuous function f: X to R such that A=cl(X-Z(f)). Is this space X discrete?
- 5
-1
votes
1
answer
180
views
Existence of a special type of maximal ideal in $C(X)$:
Does there exist any maximal ideal $M^p$ in $C(X)$ (the ring of continuous functions on a topological space $X$) such that each element of $M^p$ is a divisor of zero but $M^p≠O^p$?
- 5