Question

Homotopy group of geometric realization is isomorphic to the original homotopy group.

score 146 · Answer 1 · 2021-05-20 17:40:32

146

Views

Homotopy group of geometric realization is isomorphic to the original homotopy group.

Published on 20 May 2021 - 17:40

score 30 · Answer 2 · 2021-05-31 15:35:45

30

Views

Simpliciality of projective model structure on simplicial cofibrantly generated model categories

Published on 31 May 2021 - 15:35

score 96 · Answer 3 · 2021-05-31 15:58:29

96

Views

Nerve of functor between small categories is an inner Kan fibration?

Published on 31 May 2021 - 15:58

score 66 · Answer 4 · 2021-06-01 16:42:45

66

Views

Prove post-composition map is isomorphism.

Published on 01 Jun 2021 - 16:42

score 80 · Answer 5 · 2021-06-15 14:33:25

80

Views

Question about Remark 2.4.1.9 in Higher Topos Theory

Published on 15 Jun 2021 - 14:33

score 216 · Answer 6 · 2021-06-20 04:10:26

216

Views

Join/slice adjunction and lifting problems

Published on 20 Jun 2021 - 4:10

score 21 · Answer 7 · 2021-06-24 18:49:04

21

Views

Decomposing an order-preserving injection between finite sets as a product of coface maps

Published on 24 Jun 2021 - 18:49

score 372 · Answer 8 · 2026-03-28 02:22:49

372

Views

What is the motivation for defining and working with the simplex category?

Published on 28 Mar 2026 - 2:22

score 60 · Answer 9 · 2021-07-06 22:40:50

60

Views

Moore Complex is quotient of alternating face map complex by the degenerate complex

Published on 06 Jul 2021 - 22:40

score 95 · Answer 10 · 2021-07-09 11:13:20

95

Views

Weak Homotopy Equivalence in Simplicial Sets

Published on 09 Jul 2021 - 11:13

score 388 · Answer 11 · 2021-07-12 16:48:38

388

Views

Homotopy Limit is the Limit in the Homotopy Category

Published on 12 Jul 2021 - 16:48

score 189 · Answer 12 · 2026-03-28 02:22:10

189

Views

Homotopy on abstract simplicial complexes vs simplicial sets

Published on 28 Mar 2026 - 2:22

score 253 · Answer 13 · 2021-07-29 20:58:28

253

Views

Barycentric subdivision of a simplex is a geometric simplicial complex

Published on 29 Jul 2021 - 20:58

score 48 · Answer 14 · 2021-08-02 07:51:07

48

Views

Proof of Homotopy Addition Lemma

Published on 02 Aug 2021 - 7:51

score 299 · Answer 15 · 2021-08-08 17:03:49

299

Views

Homotopy groups of simplicial sets commute with filtered colimits

Published on 08 Aug 2021 - 17:03

List Question

Homotopy group of geometric realization is isomorphic to the original homotopy group.

Simpliciality of projective model structure on simplicial cofibrantly generated model categories

Nerve of functor between small categories is an inner Kan fibration?

Prove post-composition map is isomorphism.

Question about Remark 2.4.1.9 in Higher Topos Theory

Join/slice adjunction and lifting problems

Decomposing an order-preserving injection between finite sets as a product of coface maps

What is the motivation for defining and working with the simplex category?

Moore Complex is quotient of alternating face map complex by the degenerate complex

Weak Homotopy Equivalence in Simplicial Sets

Homotopy Limit is the Limit in the Homotopy Category

Homotopy on abstract simplicial complexes vs simplicial sets

Barycentric subdivision of a simplex is a geometric simplicial complex

Proof of Homotopy Addition Lemma

Homotopy groups of simplicial sets commute with filtered colimits

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