Question

Can closed unit ball be a retract of unit sphere?

score 743 · Answer 1 · 2018-10-09 05:39:16

743

Views

Can closed unit ball be a retract of unit sphere?

Published on 09 Oct 2018 - 5:39

score 375 · Answer 2 · 2018-11-09 03:40:10

375

Views

A topological space with the Universal Extension Property which is not homeomorphic to a retract of $\mathbb{R}^J$?

Published on 09 Nov 2018 - 3:40

score 82 · Answer 3 · 2018-11-13 12:54:19

82

Views

In theta space, is the lower arc and line segment a deformation retract of punctured theta?

Published on 13 Nov 2018 - 12:54

score 72 · Answer 4 · 2018-11-16 03:17:01

72

Views

Questions about the proof sketch of "$\{x\}$ is a deformation retract of $\overline{St}(x)$"

Published on 16 Nov 2018 - 3:17

score 60 · Answer 5 · 2018-12-20 19:56:01

60

Views

Is the orthogonal polar factor the unique retraction $\operatorname{GL}_n^+ \to \operatorname{SO}_n$?

Published on 20 Dec 2018 - 19:56

score 406 · Answer 6 · 2019-01-10 12:43:05

406

Views

Deformation Retraction and Projection/Closest Vector

Published on 10 Jan 2019 - 12:43

score 320 · Answer 7 · 2019-01-22 04:17:45

320

Views

Retract of noncompact surface to its boundary?

Published on 22 Jan 2019 - 4:17

score 676 · Answer 8 · 2019-02-19 00:04:18

676

Views

Fundamental group as a product of normal subgroups

Published on 19 Feb 2019 - 0:04

score 209 · Answer 9 · 2019-03-09 18:02:33

209

Views

Suppose $A \subset V$. How does a deformation retraction of $V$ onto $A$ induces a deformation retraction of $V/A$ onto $A/A$?

Published on 09 Mar 2019 - 18:02

score 174 · Answer 10 · 2019-03-10 07:10:59

174

Views

If $A$ has a neighbourhood in $X$ that deformation retracts onto $A$ then does $(X,A)$ have HEP?

Published on 10 Mar 2019 - 7:10

score 1.6k · Answer 11 · 2019-03-11 16:12:41

1.6k

Views

Why is $S^1\times \{1\}$ homotopy equivalent to the solid torus $T^2 = D^2 \times S^1$? (see attached picture)

Published on 11 Mar 2019 - 16:12

score 13 · Answer 12 · 2019-04-26 11:26:24

13

Views

Problem explanation regarding subspaces of $\mathbb{R}$

Published on 26 Apr 2019 - 11:26

score 248 · Answer 13 · 2019-05-24 18:43:02

248

Views

$\mathbb{S}^n$ without two points

Published on 24 May 2019 - 18:43

score 291 · Answer 14 · 2019-06-21 19:45:15

291

Views

Deformation retraction onto an open subset of manifold boundary

Published on 21 Jun 2019 - 19:45

score 57 · Answer 15 · 2019-07-21 21:04:57

57

Views

How to show that a mapping is a 2-Lipschitz retraction from $l_\infty$ to $c_0$?

Published on 21 Jul 2019 - 21:04

List Question

Can closed unit ball be a retract of unit sphere?

A topological space with the Universal Extension Property which is not homeomorphic to a retract of $\mathbb{R}^J$?

In theta space, is the lower arc and line segment a deformation retract of punctured theta?

Questions about the proof sketch of "$\{x\}$ is a deformation retract of $\overline{St}(x)$"

Is the orthogonal polar factor the unique retraction $\operatorname{GL}_n^+ \to \operatorname{SO}_n$?

Deformation Retraction and Projection/Closest Vector

Retract of noncompact surface to its boundary?

Fundamental group as a product of normal subgroups

Suppose $A \subset V$. How does a deformation retraction of $V$ onto $A$ induces a deformation retraction of $V/A$ onto $A/A$?

If $A$ has a neighbourhood in $X$ that deformation retracts onto $A$ then does $(X,A)$ have HEP?

Why is $S^1\times \{1\}$ homotopy equivalent to the solid torus $T^2 = D^2 \times S^1$? (see attached picture)

Problem explanation regarding subspaces of $\mathbb{R}$

$\mathbb{S}^n$ without two points

Deformation retraction onto an open subset of manifold boundary

How to show that a mapping is a 2-Lipschitz retraction from $l_\infty$ to $c_0$?

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