Question

Construct Compact Exhaustion using Paracompactness

score 330 · Answer 1 · 2026-04-23 07:43:14

330

Views

Construct Compact Exhaustion using Paracompactness

Published on 23 Apr 2026 - 7:43

score 73 · Answer 2 · 2026-04-11 00:16:33

73

Views

a sequence of compact converging to another compact

Published on 11 Apr 2026 - 0:16

score 566 · Answer 3 · 2026-04-15 08:59:27

566

Views

Reference for the "points of continuity of a function is a $G_\delta$ set".

Published on 15 Apr 2026 - 8:59

score 1.5k · Answer 4 · 2026-04-15 12:57:16

1.5k

Views

"Schaum's Outline of General Topology" by S. Lipschutz. Is it good choice for self study General Topology?

Published on 15 Apr 2026 - 12:57

score 249 · Answer 5 · 2026-04-15 20:09:13

249

Views

Problem 1.3.2 in Guillemin and Pollack.

Published on 15 Apr 2026 - 20:09

score 309 · Answer 6 · 2026-04-11 19:23:30

309

Views

(Baby Rudin) Thm 2.34: Compact subsets of metric spaces are closed.

Published on 11 Apr 2026 - 19:23

score 402 · Answer 7 · 2026-04-13 05:53:48

402

Views

A space is $T_0$ if and only if it is homeomorphic to a subpspace of $S^I$ with $S$ the Sierpinski space for some $I$ [Proof Verification]

Published on 13 Apr 2026 - 5:53

score 684 · Answer 8 · 2026-04-10 21:10:28

684

Views

Connectedness of $[0,1) \times [0,1]$.

Published on 10 Apr 2026 - 21:10

score 26 · Answer 9 · 2026-04-16 08:10:30

26

Views

Elements in the basis of Product topology determined by sub-basis other than sub-basis elements.

Published on 16 Apr 2026 - 8:10

score 111 · Answer 10 · 2026-04-16 10:36:43

111

Views

Points of continuity in $ M_n (k) $ of minimal polynomials

Published on 16 Apr 2026 - 10:36

score 219 · Answer 11 · 2026-04-14 17:19:32

219

Views

Proof verification on the openness of the space of matrices of full rank

Published on 14 Apr 2026 - 17:19

score 1.8k · Answer 12 · 2026-04-20 06:40:00

1.8k

Views

Is the torus with one hole homeomorphic to the torus with two holes?

Published on 20 Apr 2026 - 6:40

score 246 · Answer 13 · 2026-04-12 00:53:42

246

Views

Re: Stewart & Tall, "Complex Analysis" ($2^\text{nd}$ ed. 2018), Proposition 2.45: constructing a family of space-filling curves

Published on 12 Apr 2026 - 0:53

score 409 · Answer 14 · 2026-04-16 08:08:30

409

Views

Munkres topology question §25 number 5: Show that a space is not locally connected

Published on 16 Apr 2026 - 8:08

score 272 · Answer 15 · 2026-04-13 15:56:22

272

Views

Proper map induced from a continuous map

Published on 13 Apr 2026 - 15:56

List Question

Construct Compact Exhaustion using Paracompactness

a sequence of compact converging to another compact

Reference for the "points of continuity of a function is a $G_\delta$ set".

"Schaum's Outline of General Topology" by S. Lipschutz. Is it good choice for self study General Topology?

Problem 1.3.2 in Guillemin and Pollack.

(Baby Rudin) Thm 2.34: Compact subsets of metric spaces are closed.

A space is $T_0$ if and only if it is homeomorphic to a subpspace of $S^I$ with $S$ the Sierpinski space for some $I$ [Proof Verification]

Connectedness of $[0,1) \times [0,1]$.

Elements in the basis of Product topology determined by sub-basis other than sub-basis elements.

Points of continuity in $ M_n (k) $ of minimal polynomials

Proof verification on the openness of the space of matrices of full rank

Is the torus with one hole homeomorphic to the torus with two holes?

Re: Stewart & Tall, "Complex Analysis" ($2^\text{nd}$ ed. 2018), Proposition 2.45: constructing a family of space-filling curves

Munkres topology question §25 number 5: Show that a space is not locally connected

Proper map induced from a continuous map

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