Effective zero-dimensionality for computable metric spaces

We begin to study classical dimension theory from the computable analysis (TTE) point of view. For computable metric spaces, several effectivisations of zero-dimensionality are shown to be equivalent. The part of this characterisation that concerns covering dimension extends to higher dimensions and...

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Bibliographic Details
Main Author: Robert Kenny
Format: Article
Language:English
Published: Logical Methods in Computer Science e.V. 2015-03-01
Series:Logical Methods in Computer Science
Subjects:
Online Access:https://lmcs.episciences.org/1023/pdf