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On Topological Algebra Bundles

Part of: Fiber spaces and bundles Methods of category theory in functional analysis Topological algebras, normed rings and algebras, Banach algebras

Published online by Cambridge University Press:  09 April 2009

Athanasios Kyriazia
Athanasios Kyriazia
Affiliation:
Mathematical InstituteUniversity of Athens57, Solonos Street GR-106 79 Athens, Greece
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Abstract

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Topological algebra bundles whose fibre (-algebras) admit functional representations constitute a category, antiequivalent with that of (topological) fibre bundles having completely regular bundle spaces and locally compact fibres.

Keywords

topological algebra bundlealgebraic chartalgebraic atlassystem of transition functions(X-algebra), spectrum bundlespectrum functorlocally m-convex algebra bundlefunctional representationscategory antiequivalencespectrum of a topological algebraWaelbroeck algebraGel'fand-Mazur (topological) algebra.

MSC classification

Secondary: 46H05: General theory of topological algebras 46M20: Methods of algebraic topology (cohomology, sheaf and bundle theory, etc.) 55R05: Fiber spaces 55R10: Fiber bundles
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 43 , Issue 3 , December 1987 , pp. 398 - 419
Copyright
Copyright © Australian Mathematical Society 1987

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