List questions from homotopy-theory

Published on 11 Apr 2026 - 17:57

1k

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Cohomology of colimit is limit of cohomology ? (group cohomology)

Published on 25 Mar 2026 - 9:50

60

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Mapping spaces for pro-objects in a simplicial model category

Published on 30 Mar 2026 - 7:49

435

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Connections between Algebraic Topology and Set Theory

Published on 25 Mar 2026 - 7:48

119

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Showing that $\mathbb{C}$ minus a point is homotopy equivalent to $S^1$

Published on 13 Apr 2026 - 8:42

155

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Chain complexes, homology and homotopy type.

Published on 31 Mar 2026 - 22:12

211

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Suppose $A \subset V$. How does a deformation retraction of $V$ onto $A$ induces a deformation retraction of $V/A$ onto $A/A$?

Published on 09 Apr 2026 - 6:21

176

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If $A$ has a neighbourhood in $X$ that deformation retracts onto $A$ then does $(X,A)$ have HEP?

Published on 09 Apr 2026 - 6:20

235

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Explicit model of the $E_{n}$-operad in simplicial sets

Published on 09 Apr 2026 - 9:31

1.6k

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Why is $S^1\times \{1\}$ homotopy equivalent to the solid torus $T^2 = D^2 \times S^1$? (see attached picture)

Published on 09 Apr 2026 - 6:20

339

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$X \rtimes Y \simeq X \vee (X \wedge Y)$ for $X$ a Co-H-Space?

Published on 13 Apr 2026 - 3:45

100

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A question about homotopy-type of a point

Published on 13 Apr 2026 - 1:54

84

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Showing $χ$ for a three manifold?

Published on 25 Mar 2026 - 20:59

403

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Space homeomorphic to Mobius Strip?

Published on 13 Apr 2026 - 1:49

99

Views

Homotopy groups of split orthogonal group

Published on 10 Apr 2026 - 5:25

List Question

Four sheeted cover of $\mathbb{R}P^2$ wedged with circles

Cohomology of colimit is limit of cohomology ? (group cohomology)

Mapping spaces for pro-objects in a simplicial model category

Connections between Algebraic Topology and Set Theory

Showing that $\mathbb{C}$ minus a point is homotopy equivalent to $S^1$

Chain complexes, homology and homotopy type.

Suppose $A \subset V$. How does a deformation retraction of $V$ onto $A$ induces a deformation retraction of $V/A$ onto $A/A$?

If $A$ has a neighbourhood in $X$ that deformation retracts onto $A$ then does $(X,A)$ have HEP?

Explicit model of the $E_{n}$-operad in simplicial sets

Why is $S^1\times \{1\}$ homotopy equivalent to the solid torus $T^2 = D^2 \times S^1$? (see attached picture)

$X \rtimes Y \simeq X \vee (X \wedge Y)$ for $X$ a Co-H-Space?

A question about homotopy-type of a point

Showing $χ$ for a three manifold?

Space homeomorphic to Mobius Strip?

Homotopy groups of split orthogonal group

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