Question

Topology: Determine whether a subset is a retract of R^2

score 733 · Answer 1 · 2018-01-31 21:14:21

733

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Topology: Determine whether a subset is a retract of R^2

Published on 31 Jan 2018 - 21:14

score 108 · Answer 2 · 2018-02-02 11:50:02

108

Views

Retractions and local finiteness: Are these circles a retract of $\mathbb R^2$?

Published on 02 Feb 2018 - 11:50

score 371 · Answer 3 · 2018-03-03 15:04:20

371

Views

strong deformation retracts & neighbourhood deformation retracts

Published on 03 Mar 2018 - 15:04

score 265 · Answer 4 · 2018-03-30 18:07:33

265

Views

About continuous extensions and retractions

Published on 30 Mar 2018 - 18:07

score 206 · Answer 5 · 2026-02-22 21:48:13

206

Views

Local connectedness is preserved under retractions

Published on 22 Feb 2026 - 21:48

score 53 · Answer 6 · 2018-04-08 13:51:32

53

Views

Construct retraction of $conv(X)$ onto $X=[0,1]\times\{0\}\cup\bigcup_{n\in\mathbb{N}}\{1/n\}\times[-1/n,1/n]$

Published on 08 Apr 2018 - 13:51

score 169 · Answer 7 · 2018-04-12 15:04:24

169

Views

Continuous surjective map on a path connected subset of $\mathbb R^n$ which induces a covering map on a deformation retract space

Published on 12 Apr 2018 - 15:04

score 87 · Answer 8 · 2018-04-22 11:42:26

87

Views

The number of retracts of $\mathbb{R}^2 \setminus \{(0,0)\}$ up to homeomorphic

Published on 22 Apr 2018 - 11:42

score 176 · Answer 9 · 2018-04-30 07:36:08

176

Views

On the retract of product of two spaces

Published on 30 Apr 2018 - 7:36

score 85 · Answer 10 · 2018-08-11 18:25:18

85

Views

$\mathbb C^{\infty}\setminus\{0\}$ retracts on $S^{\infty}$

Published on 11 Aug 2018 - 18:25

score 156 · Answer 11 · 2018-08-14 11:53:02

156

Views

If $X$ and $Y$ are subspaces of $Z$, $X \cong Y$ and $X$ is a retract of $Z$, is $Y$ also a retract of $Z$?

Published on 14 Aug 2018 - 11:53

score 31 · Answer 12 · 2018-08-14 13:55:56

31

Views

proving $(\mathbb{B}^2 \times \{0 \}) \bigcup (\mathbb{S}^1 \times [0, \infty))$ is a retract of $\mathbb{R}^3$

Published on 14 Aug 2018 - 13:55

score 407 · Answer 13 · 2018-09-18 16:17:48

407

Views

Fundamental group of the following figure: (half-full sphere with two "quotiented" holes)

Published on 18 Sep 2018 - 16:17

score 196 · Answer 14 · 2018-09-20 03:46:17

196

Views

$A\times Y$ deformation retract of $X\times Y$ if and only if $A$ deformation retract of $X$?

Published on 20 Sep 2018 - 3:46

score 179 · Answer 15 · 2018-10-08 08:16:54

179

Views

Proof of fixed point theorem on $D^1$ using the technique used in Brouwer's fixed point theorem.

Published on 08 Oct 2018 - 8:16

List Question

Topology: Determine whether a subset is a retract of R^2

Retractions and local finiteness: Are these circles a retract of $\mathbb R^2$?

strong deformation retracts & neighbourhood deformation retracts

About continuous extensions and retractions

Local connectedness is preserved under retractions

Construct retraction of $conv(X)$ onto $X=[0,1]\times\{0\}\cup\bigcup_{n\in\mathbb{N}}\{1/n\}\times[-1/n,1/n]$

Continuous surjective map on a path connected subset of $\mathbb R^n$ which induces a covering map on a deformation retract space

The number of retracts of $\mathbb{R}^2 \setminus \{(0,0)\}$ up to homeomorphic

On the retract of product of two spaces

$\mathbb C^{\infty}\setminus\{0\}$ retracts on $S^{\infty}$

If $X$ and $Y$ are subspaces of $Z$, $X \cong Y$ and $X$ is a retract of $Z$, is $Y$ also a retract of $Z$?

proving $(\mathbb{B}^2 \times \{0 \}) \bigcup (\mathbb{S}^1 \times [0, \infty))$ is a retract of $\mathbb{R}^3$

Fundamental group of the following figure: (half-full sphere with two "quotiented" holes)

$A\times Y$ deformation retract of $X\times Y$ if and only if $A$ deformation retract of $X$?

Proof of fixed point theorem on $D^1$ using the technique used in Brouwer's fixed point theorem.

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