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

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.

45 pages

References in corpus (2)

• The chameleon groups of Richard J. Thompson: automorphisms and dynamics
• Automorphisms of generalized Thompson groups