List questions from homotopy-theory

Published on 22 Dec 2015 - 13:22

151

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Does a weak homotopy equivalence induce an equivalence of categories on the fundamental groupoids?

Published on 22 Dec 2015 - 13:42

664

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$h,h':X\to Y$ are homotopic and $k,k':Y\to Z$ are homotopic, then $k\circ h$ and $k'\circ h'$ are homotopic.

Published on 23 Dec 2015 - 12:38

213

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Homotopy cardinality of the category of categories

Published on 26 Apr 2026 - 7:44

763

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The fundamental group of $B^2\times S^1$

Published on 30 Mar 2026 - 17:38

2.3k

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Theta-space is a deformation retraction of the doubly-punctured plane, how to find equations.

Published on 31 Mar 2026 - 3:58

3.3k

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The fundamental group of $\mathbb{R}^3$ with its non-negative half-axes removed

Published on 30 Mar 2026 - 17:35

50

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Using sequence of least squares solutions to solve non-linear problems?

Published on 03 Apr 2026 - 8:01

68

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how to evaluate homotopy group of this specific structure

Published on 25 Apr 2026 - 17:51

405

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Maps from Sum of Projective Planes to Circle

Published on 31 Mar 2026 - 3:26

198

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Van Kampen theorem application in a simple three-holed figure

Published on 10 Jan 2016 - 20:11

260

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Proof of $BGl(n)\simeq Gr(n,\infty)$

Published on 11 Jan 2016 - 9:30

395

Views

Is the smash product of two Moore spaces again a Moore space?

Published on 12 Apr 2026 - 23:49

541

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Long Exact sequence of Relative Homotopy Groups: examples and applications

Published on 15 Jan 2016 - 0:11

55

Views

Why is symmetric group action needed for symmetric spectra?

Published on 16 Jan 2016 - 21:26

List Question

Where is basic algebraic topology in basic algebraic geometry?

Does a weak homotopy equivalence induce an equivalence of categories on the fundamental groupoids?

$h,h':X\to Y$ are homotopic and $k,k':Y\to Z$ are homotopic, then $k\circ h$ and $k'\circ h'$ are homotopic.

Homotopy cardinality of the category of categories

The fundamental group of $B^2\times S^1$

Theta-space is a deformation retraction of the doubly-punctured plane, how to find equations.

The fundamental group of $\mathbb{R}^3$ with its non-negative half-axes removed

Using sequence of least squares solutions to solve non-linear problems?

how to evaluate homotopy group of this specific structure

Maps from Sum of Projective Planes to Circle

Van Kampen theorem application in a simple three-holed figure

Proof of $BGl(n)\simeq Gr(n,\infty)$

Is the smash product of two Moore spaces again a Moore space?

Long Exact sequence of Relative Homotopy Groups: examples and applications

Why is symmetric group action needed for symmetric spectra?

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