Grothendieck Construction of Bipermutative-indexed Categories

Grothendieck Construction of Bipermutative-indexed Categories
Author: Donald Ying Yau
Publisher:
Total Pages: 0
Release: 2024
Genre: Grothendieck categories
ISBN: 9781032587257

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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 fields with far reaching applications. Bipermutative categories are categorifications of rings. They play a central role in algebraic K-theory and infinite loop space theory"--


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
The Grothendieck Construction in Enriched, Internal and [infinity]-category Theory
Language: en
Pages: 76
Authors: Liang Ze Wong
Categories: Categories (Mathematics)
Type: BOOK - Published: 2019 - Publisher:

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The Grothendieck construction takes a prestack (or pseudofunctor) B[superscript]op --> Cat and returns a cartesian fibration over B. Classically, this construct
A Handbook of Model Categories
Language: en
Pages: 326
Authors: Scott Balchin
Categories: Mathematics
Type: BOOK - Published: 2021-10-29 - Publisher: Springer Nature

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This book outlines a vast array of techniques and methods regarding model categories, without focussing on the intricacies of the proofs. Quillen model categori
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