Stereotype spaces and algebras

著者

    • Akbarov, Sergei S.

書誌事項

Stereotype spaces and algebras

Sergei S. Akbarov

(De Gruyter expositions in mathematics, 73)

De Gruyter, 2022

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注記

Includes bibliographical references and index

内容説明・目次

内容説明

The term "stereotype space" was introduced in 1995 and denotes a category of locally convex spaces with surprisingly elegant properties. Its study gives an unexpected point of view on functional analysis that brings this fi eld closer to other main branches of mathematics, namely, to algebra and geometry. This volume contains the foundations of the theory of stereotype spaces, with accurate definitions, formulations, proofs, and numerous examples illustrating the interaction of this discipline with the category theory, the theory of Hopf algebras, and the four big geometric disciplines: topology, differential geometry, complex geometry, and algebraic geometry.

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