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Results tagged with at.algebraic-topology
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user 89770
Homotopy theory, homological algebra, algebraic treatments of manifolds.
7
votes
1
answer
520
views
Model structure on the category of topological groups
Consider the category $TopGr$ of topological groups. I want to know that this is a model category (can one understand its model structure by understanding a model structure on the category of enriched …
- 403
2
votes
1
answer
194
views
Rationalization of topological groups and degree maps
Suppose $G$ a finitely generated nilpotent topological group and we consider its rationalization $G_\mathbb{Q}$. This space may fail to be a topological group, but it's always a group-like H-space.
W …
- 403
5
votes
0
answers
190
views
DG-Modules over CDG-algebras in the sense of rational homotopy theory
I don't know if this question is elementary or not. Suppose we have a rationalization $X_\mathbb{Q}$ of a simply connected topological space $X$. Then we can construct a CDG-algebra - a minimal Sulliv …
- 403
2
votes
1
answer
157
views
First countable geometric realization of a simplicial group
Suppose we have a simplicial group $G$.
What do we need from $G$ to get first countable $BG$, where $BG$ is a geometric realization of $G$?
- 403