Question

Necessary and sufficient condition for simplicial complex to be subspace

score 129 · Answer 1 · 2026-05-10 15:28:42

129

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Necessary and sufficient condition for simplicial complex to be subspace

Published on 10 May 2026 - 15:28

score 647 · Answer 2 · 2026-05-16 08:08:40

647

Views

Proof of a compact set without using Heine-Borel

Published on 16 May 2026 - 8:08

score 28 · Answer 3 · 2026-04-10 10:22:34

28

Views

In K-topology, Find $K'$.

Published on 10 Apr 2026 - 10:22

score 856 · Answer 4 · 2026-05-06 02:41:29

856

Views

A Proof about the Oscillation of a Function on Compact Interval

Published on 06 May 2026 - 2:41

score 810 · Answer 5 · 2026-05-11 04:22:17

810

Views

Proof that the metric space $M$ is complete if every closed ball of $M$ is complete.

Published on 11 May 2026 - 4:22

score 42 · Answer 6 · 2026-04-16 18:41:38

42

Views

Can we rederive the topological structure of a space from the category of continuous paths?

Published on 16 Apr 2026 - 18:41

score 107 · Answer 7 · 2026-04-14 23:29:37

Continuity of the multiplicative inverse; $f:\Omega \rightarrow \mathbb{C}$, where $\Omega$ is a compact Hausdorff space.

score 45 · Answer 8 · 2026-04-14 18:40:02

45

Views

Show open set $U ⊆ \overline{U ∩ A}$ where $A$ is dense in topological space $X$

Published on 14 Apr 2026 - 18:40

score 49 · Answer 9 · 2026-04-15 15:41:40

49

Views

show that $f$ is continuous at $x$ if: $f(x) ∈ V$ and $V ∈ T_Y ⇒ x \notin \overline {(f ^{−1}(V ))^c}$

Published on 15 Apr 2026 - 15:41

score 92 · Answer 10 · 2026-04-15 17:44:01

92

Views

Show there exists open sets $\{U_n\}^\infty_{n=1} \subset I^2$ with dictionary order topology.

Published on 15 Apr 2026 - 17:44

score 508 · Answer 11 · 2026-04-13 00:59:03

508

Views

Show two topological spaces are homeomorphic

Published on 13 Apr 2026 - 0:59

score 849 · Answer 12 · 2026-04-12 16:11:57

849

Views

Computing homology of complement of an embedding

Published on 12 Apr 2026 - 16:11

score 426 · Answer 13 · 2026-05-16 08:09:29

426

Views

Example 2, Sec. 28, in Munkres' TOPOLOGY, 2nd ed.: Does every compact ordered (or well-ordered) set always have a largest element.

Published on 16 May 2026 - 8:09

score 102 · Answer 14 · 2026-04-13 12:22:21

102

Views

What is the minimal structure required to talk about “directionality” and “angles”?

Published on 13 Apr 2026 - 12:22

score 713 · Answer 15 · 2026-04-11 12:56:42

713

Views

Show two spaces are homeomorphic

Published on 11 Apr 2026 - 12:56

List Question

Necessary and sufficient condition for simplicial complex to be subspace

Proof of a compact set without using Heine-Borel

In K-topology, Find $K'$.

A Proof about the Oscillation of a Function on Compact Interval

Proof that the metric space $M$ is complete if every closed ball of $M$ is complete.

Can we rederive the topological structure of a space from the category of continuous paths?

Continuity of the multiplicative inverse; $f:\Omega \rightarrow \mathbb{C}$, where $\Omega$ is a compact Hausdorff space.

Show open set $U ⊆ \overline{U ∩ A}$ where $A$ is dense in topological space $X$

show that $f$ is continuous at $x$ if: $f(x) ∈ V$ and $V ∈ T_Y ⇒ x \notin \overline {(f ^{−1}(V ))^c}$

Show there exists open sets $\{U_n\}^\infty_{n=1} \subset I^2$ with dictionary order topology.

Show two topological spaces are homeomorphic

Computing homology of complement of an embedding

Example 2, Sec. 28, in Munkres' TOPOLOGY, 2nd ed.: Does every compact ordered (or well-ordered) set always have a largest element.

What is the minimal structure required to talk about “directionality” and “angles”?

Show two spaces are homeomorphic

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