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

0 votes
1 answer
161 views

Sufficient and necessary condition for the global uniqueness of fix-points

https://www.ams.org/journals/proc/1976-060-01/S0002-9939-1976-0423137-6/S0002-9939-1976-0423137-6.pdf This paper gives a sufficient condition for the uniqueness of SCHAUDER fix point. I wonder if the …
High GPA's user avatar
  • 263
-1 votes
2 answers
390 views

$X$ is Polish and $N$ is countable. Is $N^X$ Polish? [closed]

$X$ is a separable, completely metrizable topological space equipped with its sigma algebra of Borel sets. $N$ is a countable space. $X^N$ is the collection of all mappings from $N$ to $X$. It is equi …
High GPA's user avatar
  • 263