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Continuum theory, point-set topology, spaces with algebraic structure, foundations, dimension theory, local and global properties.

5 votes
0 answers
310 views

Polish groups with no small subgroups

Definitions. A Polish group is a topological group $G$ that is homeomorphic to a separable complete metric space. A group $G$ has no small subgroups if there exists a neighborhood $U$ of the identit …
Jackson Morrow's user avatar
2 votes
1 answer
142 views

Explicit construction of a convex metric

Let $(X,d)$ be a compact, connected, locally connected, locally compact metric space. A result of Bing and Moise (independently) states that $(X,d)$ admits a topology preserving convex metric i.e., …
Jackson Morrow's user avatar