Effros, Baire, Steinhaus and non-separability

Ostaszewski, Adam ORCID: 0000-0003-2630-8663 (2015) Effros, Baire, Steinhaus and non-separability. Topology and its Applications, 195. pp. 265-274. ISSN 0166-8641

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Abstract

We give a short proof of an improved version of the Effros Open Mapping Principle via a shift-compactness theorem (also with a short proof), involving ‘sequential analysis’ rather than separability, deducing it from the Baire property in a general Baire-space setting (rather than under topological completeness). It is applicable to absolutely-analytic normed groups (which include complete metrizable topological groups), and via a Steinhaus-type Sum-set Theorem (also a consequence of the shift-compactness theorem) includes the classical Open Mapping Theorem (separable or otherwise).

Item Type:	Article
Official URL:	http://www.sciencedirect.com/science/journal/01668...
Additional Information:	© 2015 Elsevier B.V
Divisions:	Mathematics
Subjects:	Q Science > QA Mathematics
Date Deposited:	11 Nov 2015 14:43
Last Modified:	12 Dec 2024 00:57
URI:	http://eprints.lse.ac.uk/id/eprint/64401

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