Question

Is it true for arbitrary topological spaces?

score 207 · Answer 1 · 2026-04-11 04:03:41

207

Views

Is it true for arbitrary topological spaces?

Published on 11 Apr 2026 - 4:03

score 205 · Answer 2 · 2026-03-30 23:34:31

205

Views

Realizing a CW Complex as an Adjunction Space: Munkres' Proof

Published on 30 Mar 2026 - 23:34

score 683 · Answer 3 · 2026-04-16 12:11:37

683

Views

Prove that $E = \{(x,y): x^2 +4y^2 \le 1\} $ is closed

Published on 16 Apr 2026 - 12:11

score 54 · Answer 4 · 2026-04-12 17:56:19

54

Views

Characterizing Morphism of Sheaves

Published on 12 Apr 2026 - 17:56

score 157 · Answer 5 · 2026-04-11 21:42:45

157

Views

Is there a countable "continuous" set in $\mathbb{R}$?

Published on 11 Apr 2026 - 21:42

score 1.2k · Answer 6 · 2026-04-10 03:16:49

1.2k

Views

What is the difference between these two books on topology by James R. Munkres?

Published on 10 Apr 2026 - 3:16

score 55 · Answer 7 · 2026-04-14 07:51:54

55

Views

Bijection Between Two Topologies: Continuity, Coarseness, And Fineness

Published on 14 Apr 2026 - 7:51

score 299 · Answer 8 · 2026-04-16 09:45:14

299

Views

Example on a product topology

Published on 16 Apr 2026 - 9:45

score 570 · Answer 9 · 2026-04-12 00:17:37

570

Views

Munkres proof that topologists sin curve is not path connected (and inqueries on the definition of connectedness)

Published on 12 Apr 2026 - 0:17

score 304 · Answer 10 · 2026-04-14 20:31:46

304

Views

GRE 0568 #65: Disprove 'There is a continuous one-to-one function from $(0,1)$ onto $[0,1].$'

Published on 14 Apr 2026 - 20:31

score 44 · Answer 11 · 2026-04-11 06:24:22

44

Views

Is a topology, generated by intersections of opens from two compact topologies, itself compact?

Published on 11 Apr 2026 - 6:24

score 659 · Answer 12 · 2026-04-16 12:09:46

659

Views

In/surjective maps induce mono/epimorphisms in homology?

Published on 16 Apr 2026 - 12:09

score 430 · Answer 13 · 2026-04-15 06:47:29

430

Views

GRE 9367 #62: Prove $X=[0,1]$ in lower limit topology ($[a,b)$) is not compact, is Hausdorff and is disconnected.

Published on 15 Apr 2026 - 6:47

score 217 · Answer 14 · 2026-04-15 18:06:44

217

Views

Prove that $\mathbb{R^n}$ is not union of a finite number of closed sets with empty interior

Published on 15 Apr 2026 - 18:06

score 328 · Answer 15 · 2026-04-20 10:21:50

328

Views

Representation of the Skorokhod $J_1$-topology as a projective limit

Published on 20 Apr 2026 - 10:21

List Question

Is it true for arbitrary topological spaces?

Realizing a CW Complex as an Adjunction Space: Munkres' Proof

Prove that $E = \{(x,y): x^2 +4y^2 \le 1\} $ is closed

Characterizing Morphism of Sheaves

Is there a countable "continuous" set in $\mathbb{R}$?

What is the difference between these two books on topology by James R. Munkres?

Bijection Between Two Topologies: Continuity, Coarseness, And Fineness

Example on a product topology

Munkres proof that topologists sin curve is not path connected (and inqueries on the definition of connectedness)

GRE 0568 #65: Disprove 'There is a continuous one-to-one function from $(0,1)$ onto $[0,1].$'

Is a topology, generated by intersections of opens from two compact topologies, itself compact?

In/surjective maps induce mono/epimorphisms in homology?

GRE 9367 #62: Prove $X=[0,1]$ in lower limit topology ($[a,b)$) is not compact, is Hausdorff and is disconnected.

Prove that $\mathbb{R^n}$ is not union of a finite number of closed sets with empty interior

Representation of the Skorokhod $J_1$-topology as a projective limit

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