List questions from homotopy-theory

Published on 11 May 2026 - 2:39

549

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Homotopy equivalence in the category of arrows.

Published on 16 Apr 2026 - 15:01

721

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Importance of well-pointedness (in particular for the pointed mapping cylinder construction)

Published on 12 Apr 2026 - 4:34

2.5k

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Continuous maps between compact manifolds are homotopic to smooth ones

Published on 14 May 2026 - 13:20

868

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Is $K(G,1) = BG$?

Published on 11 May 2026 - 7:18

162

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Different ways to wedge spaces

Published on 10 Apr 2026 - 8:12

1.3k

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Hatcher Question 0.27

Published on 15 Apr 2026 - 11:51

2.6k

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Are these two spaces homotopy equivalent?

Published on 10 Apr 2026 - 2:54

236

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Constructing homotopies on S2

Published on 16 Apr 2026 - 8:51

373

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What is a homotopy equivalence?

Published on 10 Apr 2026 - 14:03

4.2k

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Courses on Homotopy Theory

Published on 17 Apr 2026 - 0:27

1k

Views

If $f\!: X\simeq Y$, then $X\!\cup_\varphi\!\mathbb{B}^k \simeq Y\!\cup_{f\circ\varphi}\!\mathbb{B}^k$.

Published on 14 May 2026 - 14:23

369

Views

Are close maps homotopic?

Published on 14 May 2026 - 14:23

249

Views

A homotopy question

Published on 10 Apr 2026 - 22:46

516

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Does $\Omega$ functor preserve fibration?

Published on 08 Apr 2026 - 23:49

List Question

Loopspace of Eilenberg Mac Lane space

Homotopy equivalence in the category of arrows.

Importance of well-pointedness (in particular for the pointed mapping cylinder construction)

Continuous maps between compact manifolds are homotopic to smooth ones

Is $K(G,1) = BG$?

Different ways to wedge spaces

Hatcher Question 0.27

Are these two spaces homotopy equivalent?

Constructing homotopies on S2

What is a homotopy equivalence?

Courses on Homotopy Theory

If $f\!: X\simeq Y$, then $X\!\cup_\varphi\!\mathbb{B}^k \simeq Y\!\cup_{f\circ\varphi}\!\mathbb{B}^k$.

Are close maps homotopic?

A homotopy question

Does $\Omega$ functor preserve fibration?

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