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Results tagged with at.algebraic-topology
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user 448708
Homotopy theory, homological algebra, algebraic treatments of manifolds.
7
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Topological operations corresponding to abelianization of the fundamental group
$\newcommand{\ab}{\mathrm{ab}}$Suppose we have a topological space $X$ with a non-abelian fundamental group $\pi_1(X)$. We'd like to perform a sequence of topological operations on $X$ (for example, …
- 79
0
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Spaces of $n$-dimensional topological spaces whose fundamental group is given
If we fix a group $G$ and a dimension $n$, we can ask which $n$-dimensional locally path-connected$^*$ (or otherwise sufficiently nice) topological spaces $X$ have $\pi_1(X) \cong G$. Would these spac …
- 79