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Results tagged with at.algebraic-topology
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user 70015
Homotopy theory, homological algebra, algebraic treatments of manifolds.
3
votes
0
answers
117
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What is the structure required to construct this homotopy of maps between mapping cones?
Let $X,Y$ be topological spaces, let $f$ be a continuous map from $X$ to $Y$ and let $g$ be a continuous map from $Y$ to $X$. Write $C_f$ for the mapping cone of $f$; i.e., $\{*\} + X\times I + Y$, w …
- 907
7
votes
0
answers
306
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Is there a more general obstruction to the existence of moduli spaces than the existence of ...
We are taught that, in general:
A type of objects that has nontrivial automorphisms cannot have a fine moduli space.
The proof generally goes along the lines of:
Take an object $X$ with a non-trivi …
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