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Serveur d'exploration Bourbaki

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Completeness

Identifieur interne : 002A58 ( Main/Merge ); précédent : 002A57; suivant : 002A59

Completeness

Auteurs : Hans Jarchow [Allemagne]

Source :

RBID : ISTEX:5D5ED2810B8F7487E7BEB9D00E52EAB62E734B57

Abstract

Abstract: Every topological vector space E carries a natural uniform structure (in the sense of N. Bourbaki [2], see also H.Schubert [1]) which is determined by all sets {(x,y) ϵ E × E|x — y ϵ U}, U running through any 0-basis in E. Consequently, topological vector spaces are open for application of the results of the general theory of uniform spaces.

Url:
DOI: 10.1007/978-3-322-90559-8_3

Links toward previous steps (curation, corpus...)

Links to Exploration step

ISTEX:5D5ED2810B8F7487E7BEB9D00E52EAB62E734B57

Le document en format XML

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{{Explor lien
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   |area=    BourbakiV1
   |flux=    Main
   |étape=   Merge
   |type=    RBID
   |clé=     ISTEX:5D5ED2810B8F7487E7BEB9D00E52EAB62E734B57
   |texte=   Completeness
}}
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