Question

Is there a 'coherence' theorem for simplicial sets? On uniquely lifting natural transformations of $n$-truncations to full natural transformations

score 85 · Answer 1 · 2026-03-26 00:53:39

85

Views

Is there a 'coherence' theorem for simplicial sets? On uniquely lifting natural transformations of $n$-truncations to full natural transformations

Published on 26 Mar 2026 - 0:53

score 97 · Answer 2 · 2026-03-25 17:39:11

97

Views

Can we ignore higher dimensional information when computing the geometric realisation of an $n$-dimensional simplicial set?

Published on 25 Mar 2026 - 17:39

score 57 · Answer 3 · 2022-11-16 11:17:46

57

Views

"Small" simplicial group equivalent to the circle

Published on 16 Nov 2022 - 11:17

score 74 · Answer 4 · 2026-03-29 11:50:10

74

Views

Difficulty with lemma $7.4$ of Goerss-Jardine: a simplex $\alpha$ is nullhomotopic to $v$ iff. there is a simplex with boundary $(v,\cdots,v,\alpha)$

Published on 29 Mar 2026 - 11:50

score 61 · Answer 5 · 2022-11-25 23:11:39

61

Views

How can I show my multiplication for $\pi_n(\Omega X,\ast)$ is unital? Lemma $7.6$, Goerss-Jardine

Published on 25 Nov 2022 - 23:11

score 35 · Answer 6 · 2026-03-25 19:10:16

35

Views

Suspension functor of pro-spaces to pro-spectra preserves weak equivalences

Published on 25 Mar 2026 - 19:10

score 91 · Answer 7 · 2026-03-29 11:48:34

91

Views

Proving that the geometric realisation of a minimal fibration is a Serre fibration - have I got the details right?

Published on 29 Mar 2026 - 11:48

score 265 · Answer 8 · 2022-12-29 07:43:41

265

Views

An infinity-category is a functor, but is it a category in some way and is the simplex notions so universal?

Published on 29 Dec 2022 - 7:43

score 563 · Answer 9 · 2023-01-05 22:14:01

563

Views

Where does one learn how to apply categorical algebra and higher abstractions to algebraic topology?

Published on 05 Jan 2023 - 22:14

score 65 · Answer 10 · 2026-03-28 12:34:09

65

Views

"Compatible /admissible" maps of $\Delta$-complexes

Published on 28 Mar 2026 - 12:34

score 109 · Answer 11 · 2023-01-21 21:01:20

109

Views

Understanding the Beck-Chevalley condition (II)

Published on 21 Jan 2023 - 21:01

score 270 · Answer 12 · 2026-03-28 14:18:26

270

Views

Is every $\Delta$-complex realizable as Simplicial complex, ie triagulazable?

Published on 28 Mar 2026 - 14:18

List Question

Is there a 'coherence' theorem for simplicial sets? On uniquely lifting natural transformations of $n$-truncations to full natural transformations

Can we ignore higher dimensional information when computing the geometric realisation of an $n$-dimensional simplicial set?

"Small" simplicial group equivalent to the circle

Difficulty with lemma $7.4$ of Goerss-Jardine: a simplex $\alpha$ is nullhomotopic to $v$ iff. there is a simplex with boundary $(v,\cdots,v,\alpha)$

How can I show my multiplication for $\pi_n(\Omega X,\ast)$ is unital? Lemma $7.6$, Goerss-Jardine

Suspension functor of pro-spaces to pro-spectra preserves weak equivalences

Proving that the geometric realisation of a minimal fibration is a Serre fibration - have I got the details right?

An infinity-category is a functor, but is it a category in some way and is the simplex notions so universal?

Where does one learn how to apply categorical algebra and higher abstractions to algebraic topology?

"Compatible /admissible" maps of $\Delta$-complexes

Understanding the Beck-Chevalley condition (II)

Is every $\Delta$-complex realizable as Simplicial complex, ie triagulazable?

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