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On topological algebra sheaves

Part of: Genetics and population dynamics Methods of category theory in functional analysis Analytic continuation Geometric convexity

Published online by Cambridge University Press:  09 April 2009

Athanasios Kyriazis
Athanasios Kyriazis
Affiliation:
Department of Mathematics University of AthensPanepistimiopolis Athens 157 84, Greece
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Abstract

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Given two topological algebra sheaves, we seek that their tensor product be an (algebra) sheaf of the same type. We further study the latter sheaf in connection with the set of morphisms which are defined on it. As an application, we finally consider fundamental notions and results related to algebras of holomorphic functions in the framework of topological algebra sheaves.

Keywords

Topological algebra sheaftopological geometric spacetensor product algebra sheafstructure sheaf envelopeDirac transformcentral morphism

MSC classification

Secondary: 46M20: Methods of algebraic topology (cohomology, sheaf and bundle theory, etc.) 46M05: Tensor products 32D10: Envelopes of holomorphy 32F99: None of the above, but in this section
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 61 , Issue 1 , August 1996 , pp. 14 - 29
Copyright
Copyright © Australian Mathematical Society 1996

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