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Grothendieck Construction of Bipermutative-indexed Categories
Language: en
Pages: 0
Authors: Donald Ying Yau
Categories: Grothendieck categories
Type: BOOK - Published: 2024 - Publisher:

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"The Grothendieck construction provides an explicit link between indexed categories and opfibrations. It is a fundamental concept in category theory and related
Grothendieck Construction of Bipermutative-Indexed Categories
Language: en
Pages: 361
Authors: Donald Yau
Categories: Mathematics
Type: BOOK - Published: 2023-12-06 - Publisher: CRC Press

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This monograph is the first and only book-length reference for this material. Contents of Chapter 2, Chapter 3, Part 2, and Part 3 is new, not having appeared i
Galois Extensions of Structured Ring Spectra/Stably Dualizable Groups
Language: en
Pages: 154
Authors: John Rognes
Categories: Mathematics
Type: BOOK - Published: 2008 - Publisher: American Mathematical Soc.

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The author introduces the notion of a Galois extension of commutative $S$-algebras ($E_\infty$ ring spectra), often localized with respect to a fixed homology t
Infinity Operads And Monoidal Categories With Group Equivariance
Language: en
Pages: 486
Authors: Donald Yau
Categories: Mathematics
Type: BOOK - Published: 2021-12-02 - Publisher: World Scientific

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This monograph provides a coherent development of operads, infinity operads, and monoidal categories, equipped with equivariant structures encoded by an action
Involutive Category Theory
Language: en
Pages: 250
Authors: Donald Yau
Categories: Mathematics
Type: BOOK - Published: 2020-11-30 - Publisher: Springer Nature

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This monograph introduces involutive categories and involutive operads, featuring applications to the GNS construction and algebraic quantum field theory. The a