List questions from homotopy-theory

Published on 15 Apr 2026 - 6:07

191

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configuration-spaces and iterated loop-spaces

Published on 25 Mar 2026 - 20:33

165

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definition of homology via spectra

Published on 11 Apr 2026 - 15:10

240

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Let $ \gamma $ be the unit circle then $ \int_\gamma \frac {dz}{z^2 − 2z} = -\pi i$

Published on 15 Apr 2026 - 10:31

194

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Equivalence between derived categories preserve distinguished triangles

Published on 15 Apr 2026 - 21:43

927

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how to calculate relative homotopy groups?

Published on 09 Apr 2026 - 17:40

85

Views

Zero in the Grothedieck group of the derived category

Published on 17 Apr 2026 - 3:16

747

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Show that there exist no retraction from $\mathbb{RP}^n$ to $\mathbb{RP}^k$ if $n>k$.

Published on 14 Apr 2026 - 1:54

1.1k

Views

Fundamental group of open subsets of $\mathbb{R}^n$

Published on 10 Apr 2026 - 8:35

1.6k

Views

Fiber bundle with null-homotopic fiber inclusion

Published on 10 Apr 2026 - 1:37

1.7k

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Higher homotopy groups of wedge of circles.

Published on 09 Apr 2026 - 19:26

1.2k

Views

Action of the fundamental group

Published on 26 Apr 2026 - 14:07

363

Views

Pullbacks and homotopy equivalences

Published on 17 Apr 2026 - 2:50

417

Views

Number of path components of a function space

Published on 13 Apr 2026 - 17:58

249

Views

Deformation retract of a triangle

Published on 14 Apr 2026 - 7:04

List Question

actions of $\mathbb{Z}_2$ on spheres

configuration-spaces and iterated loop-spaces

definition of homology via spectra

Let $ \gamma $ be the unit circle then $ \int_\gamma \frac {dz}{z^2 − 2z} = -\pi i$

Equivalence between derived categories preserve distinguished triangles

how to calculate relative homotopy groups?

Zero in the Grothedieck group of the derived category

Show that there exist no retraction from $\mathbb{RP}^n$ to $\mathbb{RP}^k$ if $n>k$.

Fundamental group of open subsets of $\mathbb{R}^n$

Fiber bundle with null-homotopic fiber inclusion

Higher homotopy groups of wedge of circles.

Action of the fundamental group

Pullbacks and homotopy equivalences

Number of path components of a function space

Deformation retract of a triangle

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