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Effros, Baire, Steinhaus and non-separability

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

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Identification Number: 10.1016/j.topol.2015.09.033


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
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Additional Information: © 2015 Elsevier B.V
Divisions: Mathematics
Subjects: Q Science > QA Mathematics
Date Deposited: 11 Nov 2015 14:43
Last Modified: 20 Aug 2021 02:05

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