Search Results
| Search type | Search syntax |
|---|---|
| Tags | [tag] |
| Exact | "words here" |
| Author |
user:1234 user:me (yours) |
| Score |
score:3 (3+) score:0 (none) |
| Answers |
answers:3 (3+) answers:0 (none) isaccepted:yes hasaccepted:no inquestion:1234 |
| Views | views:250 |
| Code | code:"if (foo != bar)" |
| Sections |
title:apples body:"apples oranges" |
| URL | url:"*.example.com" |
| Saves | in:saves |
| Status |
closed:yes duplicate:no migrated:no wiki:no |
| Types |
is:question is:answer |
| Exclude |
-[tag] -apples |
| For more details on advanced search visit our help page | |
Results tagged with at.algebraic-topology
Search options not deleted
user 11300
Homotopy theory, homological algebra, algebraic treatments of manifolds.
4
votes
0
answers
206
views
Mapping into a geometric realization.
Suppose $S$ is a simplicial set, $X$ is a space, and we are given a map
\[
f: \text{Sing}\,X\to S.
\]
When is is possible to produce a map $X\to |S|$?
We can take the realization of $f$, to get $|f|: …
- 569
2
votes
1
answer
385
views
Embeddings of vector spaces
Let $V$ be an $n$-dimensional vector space. Is the space of embeddings
$$
\coprod_1^{k} V \to V
$$
path connected for large enough $n$? Clearly $n=1$ is not enough, but I feel like $n=2$ is enough f …
- 569
19
votes
Why chain homotopy when there is no topology in the background?
There is an inner-hom in $\mathbf{Chain}$, and the 1-chains are chain homotopies. The definition is
$$
\underline{\mathbf{Chain}}(C_\bullet,D_\bullet)_k = \Pi_n \textrm{Hom} (C_{n-k},D_n)
$$
so a 0-c …
- 569
4
votes
1
answer
248
views
Compatibility of classifying space with inner-hom?
Let $\mathbf{sTop}$ be the functor category $\mathbf{Top}^{{\mathbf{\Delta}}^{\textit{op}}}$, and let $\mathbf{sCat}$ be the functor category
$\mathbf{Cat}^{{\mathbf{\Delta}}^{\textit{op}}}$, and let …
- 569