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Results tagged with gn.general-topology
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user 6249
Continuum theory, point-set topology, spaces with algebraic structure, foundations, dimension theory, local and global properties.
10
votes
1
answer
2k
views
Different forms of compactness and their relation
Given a topological space X one can define several notion of compactness:
X is compact if every open cover has a finite subcover.
X is sequentially compact if every sequence has a convergent subsequ …
- 3,004
5
votes
3
answers
546
views
Nonmetrizable uniformities with metrizable topologies
I'm looking for such pathological examples of uniform spaces which are not metrizable, but whose underlying topology is metrizable. Willard in his General Topology text constructs such a uniformity us …
- 3,004
24
votes
6
answers
5k
views
A good place to read about uniform spaces
I'd like to learn a bit about uniform spaces, why are they useful, how do they arise, what do they generalize, etc., without getting away from the context of general topology. I have to prepare an 1h3 …
- 3,004