Please use this identifier to cite or link to this item: https://open.uns.ac.rs/handle/123456789/32319
Title: On automatic homeomorphicity for transformation monoids
Authors: Pech Christian
Pech Maja 
Issue Date: 2016
Journal: Monatshefte fur Mathematik
Abstract: © 2015, Springer-Verlag Wien. Transformation monoids carry a canonical topology—the topology of point-wise convergence. A closed transformation monoid M is said to have automatic homeomorphicity with respect to a class M of transformation monoids, if every monoid-isomorphism of M to a member of M is already a homeomorphism (with respect to the topology of pointwise convergence). In this paper we show automatic homeomorphicity-properties for the monoid of non-decreasing functions on the rationals, the endomorphism-monoid of the countable universal homogeneous poset, and the monoids of non-expansive self-maps on the rational Urysohn space and the rational Urysohn sphere, respectively.
URI: https://open.uns.ac.rs/handle/123456789/32319
ISSN: 0026-9255
1436-5081
DOI: 10.1007/s00605-015-0767-y
Appears in Collections:PMF Publikacije/Publications

Show full item record

Page view(s)

20
Last Week
3
Last month
0
checked on May 10, 2024

Google ScholarTM

Check

Altmetric


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.