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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 |
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