Stereotype Spaces and Algebras

· De Gruyter Expositions in Mathematics Book 73 · Walter de Gruyter GmbH & Co KG
Ebook
794
Pages

About this ebook

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.

About the author

Sergei S. Akbarov, HSE, Moscow Institute of Electronics and Mathematics, Russia.

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