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Shift-compactness in almost analytic submetrizable baire groups and spaces

Ostaszewski, Adam (2013) Shift-compactness in almost analytic submetrizable baire groups and spaces. Topology Proceedings, 41 . pp. 123-151. ISSN 0146-4124

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Abstract

We survey the harmonious interplay between the concepts of normed group, almost completeness, shift-compactness, and certain refinement topologies of a metrizable topology (the 'ground topology'), characterized by the existence of a weak base consisting of analytic sets in the ground topology. This leads to a generalized Gandy-Harrington Theorem. The property of shiftcompactness leads to simplifications and unifications, e.g. to the Effros Open Mapping Principle.

Item Type: Article
Official URL: http://topology.auburn.edu/tp/
Additional Information: © 2013 Topology Proceedings
Library of Congress subject classification: Q Science > QA Mathematics
Sets: Departments > Mathematics
Rights: http://www.lse.ac.uk/library/usingTheLibrary/academicSupport/OA/depositYourResearch.aspx
Date Deposited: 16 May 2013 14:21
URL: http://eprints.lse.ac.uk/50285/

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