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Results tagged with gn.general-topology
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user 2039
Continuum theory, point-set topology, spaces with algebraic structure, foundations, dimension theory, local and global properties.
4
votes
Applications of Brouwer's fixed point theorem
The Schauder fixed point theorem can be proved using the Brouwer fixed point theorem. It says that if $K$ is a convex subset of a Banach space (or more generally: topological vector space) $V$ and $T$ …
52
votes
Accepted
Compact open topology
Given two spaces $X$ and $Y$, how to define the mapping space betweeen them, i.e. what topology should we put on the set of maps between them?
If $X$ is compact and $Y$ a metric space, this is quite …
- 12.1k
4
votes
When does base-change in topological spaces preserve quotient maps?
Thanks to the comments, I found the paper Exponentiability for maps means fibrewise core-compactness by G. Richter, which gives a more concrete (albeit still complicated) characterization of exponenti …
- 12.1k
6
votes
1
answer
238
views
When does base-change in topological spaces preserve quotient maps?
The question when $(-) \times X$ preserves colimits in topological spaces is well-studied. Since it always preserves arbitrary coproducts (disjoint unions), one only has to show when it preserves coeq …
- 12.1k