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Barnes and Noble

Grothendieck Construction of Bipermutative-Indexed Categories

Current price: $150.00
Grothendieck Construction of Bipermutative-Indexed Categories
Grothendieck Construction of Bipermutative-Indexed Categories

Barnes and Noble

Grothendieck Construction of Bipermutative-Indexed Categories

Current price: $150.00
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This monograph is a detailed study of the Grothendieck construction over a bipermutative category in the context of categorically enriched multicategories, with new and important applications to inverse -theory and pseudo symmetric -algebras. After carefully recalling preliminaries in enriched categories, bipermutative categories, and enriched multicategories, we show that the Grothendieck construction over a small tight bipermutative category is a pseudo symmetric Cat-multifunctor and generally not a Cat-multifunctor in the symmetric sense. Pseudo symmetry of Cat-multifunctors is a new concept we introduce in this work. The following features make it accessible as a graduate text or reference for experts: This book is suitable for graduate students and researchers with an interest in category theory, algebraic -theory, homotopy theory, and related fields. The presentation is thorough and self-contained, with complete details and background material for non-expert readers.

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