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Results tagged with at.algebraic-topology
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user 8628
Homotopy theory, homological algebra, algebraic treatments of manifolds.
2
votes
Topological spaces without retracts
If $\Omega$ is a nonempty space and $x\in \Omega$, then the constant map sending everything to $x$ is a retraction from $\Omega$ to $\{x\}$. So, every nonempty topological space has retracts.
- 48.9k
5
votes
Solving algebraic problems with topology
Using Priestley duality for distributive lattices and compact, totally disconnected ordered topological spaces, many purely algebraic questions have been solved using quite simple topological tools. F …