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Results tagged with gn.general-topology
Search options questions only
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user 1131
Continuum theory, point-set topology, spaces with algebraic structure, foundations, dimension theory, local and global properties.
184
votes
8
answers
12k
views
Two commuting mappings in the disk
Suppose that $f$ and $g$ are two commuting continuous mappings from the closed unit disk (or, if you prefer, the closed unit ball in $R^n$) to itself. Does there always exist a point $x$ such that $f( …
- 61.9k
11
votes
0
answers
575
views
Is every Baire metric space a complete metric space in disguise?
I am currently giving lectures in real analysis and a student asked an interesting question I couldn't answer, so I'm posting it here:
Let's say that a metric space $X$ is Baire if every countable int …
- 61.9k