List questions from homotopy-theory

Published on 13 Apr 2026 - 20:39

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$X$ and $Y$ are homotopy equivalent $\Leftrightarrow$ $\exists Z:$ $X,Y$ are strong deformation retracts of $Z$

Published on 14 Apr 2026 - 12:41

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fibre of a fibration is homotopy equivalent to its homotopy fibre

Published on 11 Apr 2026 - 4:27

373

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Some basic questions about the rationalization of a top. space

Published on 15 May 2026 - 19:11

331

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defining a fibration by eilenberg maclane spaces

Published on 10 May 2026 - 23:15

596

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$X\!\supseteq\!K\!\simeq\!0\Rightarrow X\!\simeq\!X/K$ ($\pi_1$ of a connected graph is free)

Published on 16 Apr 2026 - 9:30

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Homotopy groups of $S^2$

Published on 14 Apr 2026 - 5:03

2.6k

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What is an NDR-Pair?

Published on 11 Apr 2026 - 7:01

919

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CW spectra and Brown Representability

Published on 16 Apr 2026 - 19:52

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Understanding the definition of a cofibration

Published on 10 Apr 2026 - 7:57

508

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Good Reference for Large Cardinals/Homotopy Theory

Published on 13 Apr 2026 - 23:35

1k

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Three questions on spectra

Published on 11 Apr 2026 - 18:40

1.8k

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Smash product on the stable homotopy category of spectra

Published on 17 Apr 2026 - 7:57

2.2k

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Introductory book for homotopical algebra

Published on 13 Apr 2026 - 23:15

225

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Homotopy, solving system of equations

Published on 13 Apr 2026 - 7:34

List Question

How to compute homotopy classes of maps on the 2-torus?

$X$ and $Y$ are homotopy equivalent $\Leftrightarrow$ $\exists Z:$ $X,Y$ are strong deformation retracts of $Z$

fibre of a fibration is homotopy equivalent to its homotopy fibre

Some basic questions about the rationalization of a top. space

defining a fibration by eilenberg maclane spaces

$X\!\supseteq\!K\!\simeq\!0\Rightarrow X\!\simeq\!X/K$ ($\pi_1$ of a connected graph is free)

Homotopy groups of $S^2$

What is an NDR-Pair?

CW spectra and Brown Representability

Understanding the definition of a cofibration

Good Reference for Large Cardinals/Homotopy Theory

Three questions on spectra

Smash product on the stable homotopy category of spectra

Introductory book for homotopical algebra

Homotopy, solving system of equations

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