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15
Math.TechQA.Club
2026-04-23 11:21:47
69
Views
What is $\operatorname{Fun}^{L}(\mathcal{S},\mathcal{C})$ for $\mathcal{S}$ the $\infty$-category of spaces?
Published on
23 Apr 2026 - 11:21
#algebraic-topology
#category-theory
#homotopy-theory
#higher-category-theory
97
Views
Field spectra and Eilenberg--MacLane spectra?
Published on
25 Mar 2026 - 4:36
#homology-cohomology
#homotopy-theory
#stable-homotopy-theory
#spectra
557
Views
skeletons and coskeletons of a simplicial set
Published on
14 Apr 2026 - 19:23
#category-theory
#homotopy-theory
#simplicial-stuff
963
Views
Compute the fundamental group of the complement of the three coordinate axes in $\mathbb{R}^3$, giving explicit generators.
Published on
27 Mar 2026 - 7:50
#algebraic-topology
#homotopy-theory
#fundamental-groups
21
Views
natural transformations of simplicial sets
Published on
12 Apr 2026 - 10:11
#homotopy-theory
#simplicial-stuff
54
Views
Fibrations over BO
Published on
12 Apr 2026 - 6:58
#algebraic-topology
#homotopy-theory
185
Views
Show that if $f:X\longrightarrow Y$ is a homotopy equivalence, then it is unique up to homotopy.
Published on
13 Apr 2026 - 8:38
#algebraic-topology
#homotopy-theory
214
Views
Space of Non-Surjective maps between Spheres
Published on
31 Mar 2026 - 18:51
#algebraic-topology
#homotopy-theory
#geometric-topology
#higher-homotopy-groups
412
Views
Show that edge paths in a simplicial complex are equivalent if they're homotopic relative to their endpoints in the simplicial complex's realisation
Published on
26 Mar 2026 - 4:14
#general-topology
#algebraic-topology
#homotopy-theory
#path-connected
#simplicial-complex
379
Views
A counter-example showing the inclusion $\{x_{0}\}\hookrightarrow X$ is a homotopy equivalence but $\{x_{0}\}$ is not a deformation retract of X
Published on
09 Apr 2026 - 8:27
#algebraic-topology
#homotopy-theory
#retraction
136
Views
Is the proof of Lemma A.2.3.1 in HTT correct?
Published on
19 Apr 2026 - 4:22
#category-theory
#homotopy-theory
#model-categories
390
Views
Null-homotopic embedded circle in surface bounds disk
Published on
11 Apr 2026 - 1:49
#homotopy-theory
#surfaces
35
Views
n-connective version of Quillen theorem A
Published on
19 Apr 2026 - 12:48
#category-theory
#homotopy-theory
97
Views
Three questions about homotopy groups
Published on
10 Apr 2026 - 7:53
#general-topology
#algebraic-topology
#homotopy-theory
253
Views
Notion of homotopy in chain complexes
Published on
15 Apr 2026 - 1:08
#homological-algebra
#homotopy-theory
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