Cookies?
Library Header Image
LSE Research Online LSE Library Services

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

[img]
Preview
PDF - Accepted Version
Download (278kB) | Preview

Identification Number: 10.1016/j.topol.2015.09.033

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: 07 Jan 2024 06:33
URI: http://eprints.lse.ac.uk/id/eprint/64401

Actions (login required)

View Item View Item

Downloads

Downloads per month over past year

View more statistics