Question

The Space $S^1\vee S^1$ as a deformation retract of the punctured torus

score 369 · Answer 1 · 2021-10-07 18:54:54

369

Views

The Space $S^1\vee S^1$ as a deformation retract of the punctured torus

Published on 07 Oct 2021 - 18:54

score 169 · Answer 2 · 2021-10-11 17:44:37

169

Views

Prove that Möbius strip deformation retracts to a circle

Published on 11 Oct 2021 - 17:44

score 762 · Answer 3 · 2021-10-23 00:14:01

762

Views

Bing's house with two rooms: an attempt for an explicit deformation retraction and a question on homotopy type

Published on 23 Oct 2021 - 0:14

score 68 · Answer 4 · 2021-11-12 11:00:29

68

Views

Seifert-Van Kampen $S^1 \vee S^1$

Published on 12 Nov 2021 - 11:00

score 41 · Answer 5 · 2021-11-27 00:19:28

41

Views

Dose there exists a linear map that makes the product the identity

Published on 27 Nov 2021 - 0:19

score 56 · Answer 6 · 2021-12-03 16:05:48

56

Views

Do retracts in topology coincide with categorical retracts?

Published on 03 Dec 2021 - 16:05

score 69 · Answer 7 · 2021-12-14 01:36:07

Is it okay to do that with proving $\mathbb R^2$ and $\mathbb R^2 \setminus \left\{0\right\}$ are homeomorphic?

score 262 · Answer 8 · 2022-01-10 19:46:56

262

Views

Is $S^1\vee\ldots\vee S^1$ a deformation retract of $\mathbb R^2-\{x^1,\ldots,x^n\}$?

Published on 10 Jan 2022 - 19:46

score 260 · Answer 9 · 2022-01-21 22:33:24

260

Views

How do I prove that there are no retraction from $\mathbb{R}^3$ to$A$?

Published on 21 Jan 2022 - 22:33

score 241 · Answer 10 · 2022-01-22 07:52:55

241

Views

How do I prove that there are no retractions from $S^1\times \bar{B^2}$ and $A$?

Published on 22 Jan 2022 - 7:52

score 344 · Answer 11 · 2022-01-28 23:20:55

344

Views

Let $X$ be Hausdorff and $A \subset X$. Let $r:X \to A$ be a retraction. Show that $A$ is closed.

Published on 28 Jan 2022 - 23:20

score 67 · Answer 12 · 2022-02-01 19:09:18

67

Views

Is there a deformation retract from $\Bbb{S}^1$ to $\Bbb{S}^1\lor \Bbb{S}^1$?

Published on 01 Feb 2022 - 19:09

score 155 · Answer 13 · 2022-02-11 13:49:03

155

Views

Intuition behind retracts

Published on 11 Feb 2022 - 13:49

score 116 · Answer 14 · 2022-02-16 18:11:39

116

Views

In a exercise I need to find a retract $r:S^1 \cup[0,2] \times\{0\} \to S^1 \subset\mathbb R^2$.

Published on 16 Feb 2022 - 18:11

score 47 · Answer 15 · 2022-02-18 12:26:55

47

Views

How to directly prove that a ball without a part of a sphere is an absolute retract?

Published on 18 Feb 2022 - 12:26

List Question

The Space $S^1\vee S^1$ as a deformation retract of the punctured torus

Prove that Möbius strip deformation retracts to a circle

Bing's house with two rooms: an attempt for an explicit deformation retraction and a question on homotopy type

Seifert-Van Kampen $S^1 \vee S^1$

Dose there exists a linear map that makes the product the identity

Do retracts in topology coincide with categorical retracts?

Is it okay to do that with proving $\mathbb R^2$ and $\mathbb R^2 \setminus \left\{0\right\}$ are homeomorphic?

Is $S^1\vee\ldots\vee S^1$ a deformation retract of $\mathbb R^2-\{x^1,\ldots,x^n\}$?

How do I prove that there are no retraction from $\mathbb{R}^3$ to$A$?

How do I prove that there are no retractions from $S^1\times \bar{B^2}$ and $A$?

Let $X$ be Hausdorff and $A \subset X$. Let $r:X \to A$ be a retraction. Show that $A$ is closed.

Is there a deformation retract from $\Bbb{S}^1$ to $\Bbb{S}^1\lor \Bbb{S}^1$?

Intuition behind retracts

In a exercise I need to find a retract $r:S^1 \cup[0,2] \times\{0\} \to S^1 \subset\mathbb R^2$.

How to directly prove that a ball without a part of a sphere is an absolute retract?

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