Question

Unique characterizing property of identity component

score 34 · Answer 1 · 2026-04-12 16:52:46

Unique characterizing property of identity component

Published on 12 Apr 2026 - 16:52

score 191 · Answer 2 · 2026-04-14 01:27:28

Prove that there are two compact subsets $K_1$ and $K_2$ of $X$ such that $K = K_1 \cup K_2, K_1 \subset U_1, K_2 \subset U_2$.

score 219 · Answer 3 · 2026-04-10 02:23:41

219

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What are the advantages of intrinsic view of manifolds?

Published on 10 Apr 2026 - 2:23

score 133 · Answer 4 · 2026-04-15 22:38:47

133

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Two topology questions regarding quotient $D^n/S^{n-1}$ and homotopy $S^{n-1} \to S^{n} - \{ a,b\}$

Published on 15 Apr 2026 - 22:38

score 313 · Answer 5 · 2026-04-15 09:49:36

313

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Does the sequence lemma hold for Hausdorff?

Published on 15 Apr 2026 - 9:49

score 66 · Answer 6 · 2026-04-14 22:02:48

66

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Understanding $A=\mathbb{R}^2\setminus(\mathbb{Q}\times \mathbb{Q}^c)$

Published on 14 Apr 2026 - 22:02

score 225 · Answer 7 · 2026-04-17 10:43:21

225

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What is the name of the complement of a nowhere dense set?

Published on 17 Apr 2026 - 10:43

score 920 · Answer 8 · 2026-04-12 20:25:57

920

Views

Which of the following spaces are completely normal?

Published on 12 Apr 2026 - 20:25

score 236 · Answer 9 · 2026-04-15 22:48:36

236

Views

Connected component of $A=\mathbb{R}^2\setminus(\mathbb{Q}\times \mathbb{Q}^c)$

Published on 15 Apr 2026 - 22:48

score 891 · Answer 10 · 2026-04-15 22:22:42

891

Views

Stack of records theorem from Allan Pollack and Guillemin differential topology.(Q.1.4.7)

Published on 15 Apr 2026 - 22:22

score 313 · Answer 11 · 2026-04-16 03:17:21

313

Views

Showing that the sum of two sets of sequences is dense in the sequence space $\ell^1$

Published on 16 Apr 2026 - 3:17

score 1.1k · Answer 12 · 2026-04-23 12:24:07

1.1k

Views

Prob. 8, Sec. 26, in Munkres' TOPOLOGY, 2nd ed: A map into a compact Hausdorff space is continuous iff its graph is closed

Published on 23 Apr 2026 - 12:24

score 420 · Answer 13 · 2026-04-15 02:10:05

420

Views

Munkres, Section 37, Exercise 5, 1 - Tychonoff Theorem Alternate Proof

Published on 15 Apr 2026 - 2:10

score 193 · Answer 14 · 2026-04-11 14:42:05

193

Views

Is continuity of a total preorder is preserved under a continuous order-preserving map?

Published on 11 Apr 2026 - 14:42

score 582 · Answer 15 · 2026-04-15 12:56:48

582

Views

How to prove the set of bounded sequences is clopen in the uniform metric?

Published on 15 Apr 2026 - 12:56

List Question

Unique characterizing property of identity component

Prove that there are two compact subsets $K_1$ and $K_2$ of $X$ such that $K = K_1 \cup K_2, K_1 \subset U_1, K_2 \subset U_2$.

What are the advantages of intrinsic view of manifolds?

Two topology questions regarding quotient $D^n/S^{n-1}$ and homotopy $S^{n-1} \to S^{n} - \{ a,b\}$

Does the sequence lemma hold for Hausdorff?

Understanding $A=\mathbb{R}^2\setminus(\mathbb{Q}\times \mathbb{Q}^c)$

What is the name of the complement of a nowhere dense set?

Which of the following spaces are completely normal?

Connected component of $A=\mathbb{R}^2\setminus(\mathbb{Q}\times \mathbb{Q}^c)$

Stack of records theorem from Allan Pollack and Guillemin differential topology.(Q.1.4.7)

Showing that the sum of two sets of sequences is dense in the sequence space $\ell^1$

Prob. 8, Sec. 26, in Munkres' TOPOLOGY, 2nd ed: A map into a compact Hausdorff space is continuous iff its graph is closed

Munkres, Section 37, Exercise 5, 1 - Tychonoff Theorem Alternate Proof

Is continuity of a total preorder is preserved under a continuous order-preserving map?

How to prove the set of bounded sequences is clopen in the uniform metric?

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