Question

A one-dimensional Peano continuum that is not embeddable into $\mathbb{R}^3$

score 169 · Answer 1 · 2026-03-20 02:30:13

169

Views

A one-dimensional Peano continuum that is not embeddable into $\mathbb{R}^3$

Published on 20 Mar 2026 - 2:30

score 246 · Answer 2 · 2026-03-20 04:55:32

246

Views

Prove that $X$ is a Riemann surface using basic definitions

Published on 20 Mar 2026 - 4:55

score 68 · Answer 3 · 2026-03-27 03:44:29

68

Views

How do I prove that the character equals to the psuedocharacter in compact Hausdroff spaces?

Published on 27 Mar 2026 - 3:44

score 82 · Answer 4 · 2026-03-25 13:24:02

82

Views

Basic Topology: Connectedness

Published on 25 Mar 2026 - 13:24

score 245 · Answer 5 · 2026-03-25 19:07:08

245

Views

If $Y_1,...,Y_n$ are a finite collection of compact subsets of $X$, then their union $Y_1\cup....\cup Y_n$ are also compact.

Published on 25 Mar 2026 - 19:07

score 67 · Answer 6 · 2018-01-31 09:20:52

$A_{\alpha,\beta} = \{(x,y) \in \mathbb{R}^2 \vert x = r \cos(\theta), y = r\sin(\theta), r > 0, \alpha < \theta <\beta \}$

score 22 · Answer 7 · 2018-01-31 09:24:02

22

Views

Property of continuous functions and monotonic functions on disconnected sets

Published on 31 Jan 2018 - 9:24

score 33 · Answer 8 · 2018-01-31 09:41:19

33

Views

Characterization of limit-reflecting maps (of topological spaces)

Published on 31 Jan 2018 - 9:41

score 567 · Answer 9 · 2026-03-25 04:43:29

567

Views

How to prove that for a compact set to be measure zero, we need $\forall \epsilon > 0$, there exists a finite covering satisfying the necessary condn

Published on 25 Mar 2026 - 4:43

score 213 · Answer 10 · 2018-01-31 10:47:58

213

Views

E = $\{(x,y) \in \mathbb{R}^2 \vert x^2y \geq 0\}$ Border of E?

Published on 31 Jan 2018 - 10:47

score 402 · Answer 11 · 2018-01-31 12:42:27

402

Views

Showing that a subset is dense in a separable metric space

Published on 31 Jan 2018 - 12:42

score 104 · Answer 12 · 2026-03-25 01:36:15

104

Views

Is $\mathbb{R}^4-\{0\}=S^3\times \mathbb{R}$?

Published on 25 Mar 2026 - 1:36

score 99 · Answer 13 · 2026-03-25 15:28:13

99

Views

Alternative conditions for a function $\phi:S_g\rightarrow S_g$ to be homotopic to identity

Published on 25 Mar 2026 - 15:28

score 121 · Answer 14 · 2026-03-25 16:46:29

121

Views

If d.c.c. holds for irreducible closed sets is the topological space Noetherian?

Published on 25 Mar 2026 - 16:46

score 451 · Answer 15 · 2026-03-27 03:43:06

451

Views

A comparison of compactness in Product Topology and Order Topology

Published on 27 Mar 2026 - 3:43

List Question

A one-dimensional Peano continuum that is not embeddable into $\mathbb{R}^3$

Prove that $X$ is a Riemann surface using basic definitions

How do I prove that the character equals to the psuedocharacter in compact Hausdroff spaces?

Basic Topology: Connectedness

If $Y_1,...,Y_n$ are a finite collection of compact subsets of $X$, then their union $Y_1\cup....\cup Y_n$ are also compact.

$A_{\alpha,\beta} = \{(x,y) \in \mathbb{R}^2 \vert x = r \cos(\theta), y = r\sin(\theta), r > 0, \alpha < \theta <\beta \}$

Property of continuous functions and monotonic functions on disconnected sets

Characterization of limit-reflecting maps (of topological spaces)

How to prove that for a compact set to be measure zero, we need $\forall \epsilon > 0$, there exists a finite covering satisfying the necessary condn

E = $\{(x,y) \in \mathbb{R}^2 \vert x^2y \geq 0\}$ Border of E?

Showing that a subset is dense in a separable metric space

Is $\mathbb{R}^4-\{0\}=S^3\times \mathbb{R}$?

Alternative conditions for a function $\phi:S_g\rightarrow S_g$ to be homotopic to identity

If d.c.c. holds for irreducible closed sets is the topological space Noetherian?

A comparison of compactness in Product Topology and Order Topology

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