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Results tagged with gn.general-topology
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user 38926
Continuum theory, point-set topology, spaces with algebraic structure, foundations, dimension theory, local and global properties.
2
votes
1
answer
173
views
Is there a maximal (or maximal Tychonoff) non normal space?
Is there a maximal (or maximal Tychonoff) non normal space? In "A Problem of Set-Teoretic Topology" the existence of a maximal Tychonoff space is asserted. Also there exists a perfectly normal maximal …
- 4,413
5
votes
1
answer
155
views
Is There a maximal space that is a P-space?
we guess there is no maximal space which is also a P-space. Am I right? Do u know a counter example?
clarifications:
Maximal space is that space with topology $\tau$ which is maximal crowded topology …
- 11.5k
1
vote
1
answer
520
views
The space $\psi$
Is the space $\psi$ (described in problem 5I of L. Gillman and M. Jerison, Rings of continuous functions, Springer Verlag, 1976) a F-Z-space (i.e, space with $cl(X-Z(f))$ is a zero set for every $f$ i …
- 362
1
vote
1
answer
182
views
A space with countable tightness which is not a Fréchet space?
I need a space with countable tightness which is not a Fréchet space. In this space, I am searching for a point with no deleted neighborhood consisting entirely of P-points.
(A P-point is a point $x …
- 11.5k