On differential completions and compactifications of a differential space

Differential completions and compactifications of differential spaces are introduced and investigated. The existence of the maximal differential completion and the maximal differential compactification is proved. A sufficient condition for the existence of a complete uniform differential structure o...

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Bibliographic Details
Published in:arXiv.org 2011-03
Main Authors: Dziewa-Dawidczyk, Diana, Pasternak-Winiarski, Zbigniew
Format: Article
Language:English
Online Access:Get full text
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Summary:Differential completions and compactifications of differential spaces are introduced and investigated. The existence of the maximal differential completion and the maximal differential compactification is proved. A sufficient condition for the existence of a complete uniform differential structure on a given differential space is given.
ISSN:2331-8422