English

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

General Topology 2016-09-07 v1 Functional Analysis

Abstract

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.

Keywords

Cite

@article{arxiv.math/0510120,
  title  = {Reconstruction theorem for homeomorphism groups without small sets and non-shrinking functions of a normed space},
  author = {Vladimir P. Fonf and Matatyahu Rubin},
  journal= {arXiv preprint arXiv:math/0510120},
  year   = {2016}
}

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45 pages