List questions from separation-axioms

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Totally disconnected space that is not $T_2$

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175

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Zero-dimensional but not Hausdorff

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How to show $[0, \frac{\pi}{2}) \cup (\frac{3\pi}{4}, 2\pi)$ is sequentially separated?

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32

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Completely Regular Spaces and Embeddings

Published on 04 May 2015 - 22:58

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Is imaged of a Polish Hausdorff space under an injecitve map always Hausdorff?

Published on 15 May 2015 - 4:44

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Prove equivalence between $X$ Hausdorff and $X$ finite with discrete topology

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Disjoint Union of Completely Regular Spaces

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357

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A countable Tychonoff space is normal?

Published on 25 May 2015 - 0:16

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Motivation for separation axioms

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If $(X,\tau)$ is Hausdorff, is $X\times X$?

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Topology on $\mathbb{R}$ strictly coarser (resp. finer) than the usual one which is still Hausdorff (resp. connected)

Published on 02 Jun 2015 - 21:43

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Looking For a Neat Proof of the Fact that the Grassmannian Manifold is Hausdorff

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(Question about the proof of $M(C_0(X))=C_b(X)$ )- Urysohn's lemma for locally compact Hausdorff spaces

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14.5k

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Show that a locally compact Hausdorff space is regular.

Published on 05 Jun 2015 - 19:44

List Question

A second opinion on a proof in topology

Totally disconnected space that is not $T_2$

Zero-dimensional but not Hausdorff

How to show $[0, \frac{\pi}{2}) \cup (\frac{3\pi}{4}, 2\pi)$ is sequentially separated?

Completely Regular Spaces and Embeddings

Is imaged of a Polish Hausdorff space under an injecitve map always Hausdorff?

Prove equivalence between $X$ Hausdorff and $X$ finite with discrete topology

Disjoint Union of Completely Regular Spaces

A countable Tychonoff space is normal?

Motivation for separation axioms

If $(X,\tau)$ is Hausdorff, is $X\times X$?

Topology on $\mathbb{R}$ strictly coarser (resp. finer) than the usual one which is still Hausdorff (resp. connected)

Looking For a Neat Proof of the Fact that the Grassmannian Manifold is Hausdorff

(Question about the proof of $M(C_0(X))=C_b(X)$ )- Urysohn's lemma for locally compact Hausdorff spaces

Show that a locally compact Hausdorff space is regular.

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