Reconstruction theorem for homeomorphism groups without small sets and non-shrinking functions of a normed space

Details Reconstruction theorem for homeomorphism groups without small sets and non-shrinking functions of a normed space Reconstruction theorem for homeomorphism groups without small sets and non-shrinking functions of a normed space

2005-10-06

arxiv.org/abs/math/0510120v1

Mathematics

General Topology

45 pages

Scientific paper

We prove a reconstruction theorem for homeomorphism groups of open sets in
metrizable locally convex topological vector spaces. We show that certain small
subgroups of the full homeomorphism group obey the conditions of the above
theorem.

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