Stereotype Spaces and Algebras / / Sergei S. Akbarov.

• Superior document: Title is part of eBook package: De Gruyter DG Plus DeG Package 2022 Part 1
• VerfasserIn: Akbarov, Sergei S.,
• Place / Publishing House: Berlin ;, Boston : : De Gruyter, , [2022]; ©2022
• Year of Publication: 2022
• Language: English
• Series: De Gruyter Expositions in Mathematics , 73
• Physical Description: 1 online resource (X, 784 p.)
• Other title: Frontmatter --; Contents --; Acknowledgments --; 0 Introduction --; 1 Categories over sets --; 2 Categories over categories --; 3 Locally convex spaces --; 4 Stereotype spaces --; 5 Stereotype algebras --; Bibliography --; Index
• Format: Mode of access: Internet via World Wide Web.
• ISBN: 9783110780918; 9783110766820; 9783110993899; 9783110994810; 9783110993868; 9783110770445
• ISSN: 0938-6572
• DOI: 10.1515/9783110780918
• Access: restricted access
• Hierarchical level: Monograph
• Statement of Responsibility: Sergei S. Akbarov.

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.