List questions from homotopy-theory

157

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Definition of distinguished triangles of the underlying triangulated category of a stable infinity category

Published on 25 Mar 2026 - 21:54

88

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Writing every homomorphism $\Upsilon : \pi_{1}(S^1,1) \to \pi_{1}(S^1,1)$ as $\Upsilon = f_\ast.$

Published on 13 Apr 2026 - 8:42

551

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Homotopy colimit

Published on 12 Apr 2026 - 8:08

76

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Extending fibrations after cell attachments

Published on 08 Apr 2026 - 23:56

325

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Cofibrant diagrams in the Reedy model structure

Published on 25 Mar 2026 - 14:39

102

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Proof all anodyne extensions come from saturating $\Lambda_I^0({}, M)$

Published on 25 Mar 2026 - 21:46

119

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Every endomorphism $\psi$ of $\pi_1(S^1\times S^1, (1,1))$ can be expressed as $\psi = f_\ast$?

Published on 26 Mar 2026 - 12:50

123

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Question about the definition of homotopy equivalence

Published on 12 Apr 2026 - 17:57

217

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A problem in Wedge product of topological spaces

Published on 12 Apr 2026 - 13:11

70

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A problem in Algebraic Topology

Published on 11 Apr 2026 - 20:18

279

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How to show that a chain is homologous to zero

Published on 10 Apr 2026 - 19:00

162

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How do model categories assist in localizing at the weak equivalences?

Published on 06 Apr 2026 - 5:15

43

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Values of the $\mathbb{Z}/2$-spectrum $KR$ of $K$-theory with Reality

Published on 25 Mar 2026 - 1:18

202

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Homotopy groups of even spheres are finite

Published on 13 Apr 2026 - 13:46

2.5k

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Proving directly that $S^2$ is simply connected: is a surjective loop homotopic to a non-surjective one?

Published on 12 Apr 2026 - 16:59

List Question

Definition of distinguished triangles of the underlying triangulated category of a stable infinity category

Writing every homomorphism $\Upsilon : \pi_{1}(S^1,1) \to \pi_{1}(S^1,1)$ as $\Upsilon = f_\ast.$

Homotopy colimit

Extending fibrations after cell attachments

Cofibrant diagrams in the Reedy model structure

Proof all anodyne extensions come from saturating $\Lambda_I^0({}, M)$

Every endomorphism $\psi$ of $\pi_1(S^1\times S^1, (1,1))$ can be expressed as $\psi = f_\ast$?

Question about the definition of homotopy equivalence

A problem in Wedge product of topological spaces

A problem in Algebraic Topology

How to show that a chain is homologous to zero

How do model categories assist in localizing at the weak equivalences?

Values of the $\mathbb{Z}/2$-spectrum $KR$ of $K$-theory with Reality

Homotopy groups of even spheres are finite

Proving directly that $S^2$ is simply connected: is a surjective loop homotopic to a non-surjective one?

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