List questions from separation-axioms

Published on 26 Mar 2026 - 19:24

198

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K-topology satisfies the Hausdorff axiom

Published on 17 Jul 2021 - 7:01

49

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Is this topological space normal?

Published on 19 Jul 2021 - 8:01

92

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Open mapping from normal space to T1 space

Published on 19 Jul 2021 - 23:40

150

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Does compact normal space implies metric space?

Published on 26 Jul 2021 - 9:22

68

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How can a regular space not be a Hausdorff space?

Published on 27 Jul 2021 - 16:49

222

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Proving $\mathbb{R}$ is Hausdorff with final topology induced by a function $f$.

Published on 31 Jul 2021 - 20:45

65

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Is the product of paracompact with $\sigma$-compact always paracompact?

Published on 23 Feb 2026 - 8:25

76

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Complete regularity of function spaces

Published on 25 Mar 2026 - 23:35

88

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Prove that this topological space is Haursdorff and Compact

Published on 05 Sep 2021 - 13:27

64

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$T_1$ space violating cardinal bound which every $T_2$ space satisfy

Published on 09 Sep 2021 - 12:17

87

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A $T_{3\frac{1}{2}}$ space is compact if Stone-Weierstrass theorem holds.

Published on 23 Feb 2026 - 17:28

522

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Every hausdorff space has a non-hausdorff quotient.

Published on 08 Oct 2021 - 12:57

49

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A $T_1$ space is normal iff...

Published on 11 Oct 2021 - 8:16

100

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$T=${$U \in P(\mathbb{R}): 0 \notin U$ or $ R-U $ is finite) is completely normal but not perfectly normal

Published on 11 Oct 2021 - 9:05

List Question

Reference request for Separation axioms in Topology.

K-topology satisfies the Hausdorff axiom

Is this topological space normal?

Open mapping from normal space to T1 space

Does compact normal space implies metric space?

How can a regular space not be a Hausdorff space?

Proving $\mathbb{R}$ is Hausdorff with final topology induced by a function $f$.

Is the product of paracompact with $\sigma$-compact always paracompact?

Complete regularity of function spaces

Prove that this topological space is Haursdorff and Compact

$T_1$ space violating cardinal bound which every $T_2$ space satisfy

A $T_{3\frac{1}{2}}$ space is compact if Stone-Weierstrass theorem holds.

Every hausdorff space has a non-hausdorff quotient.

A $T_1$ space is normal iff...

$T=${$U \in P(\mathbb{R}): 0 \notin U$ or $ R-U $ is finite) is completely normal but not perfectly normal

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