說明 
1 online resource (235 pages) 

text txt rdacontent 

computer c rdamedia 

online resource cr rdacarrier 

text file PDF rda 
系列 
EMS Monographs in Mathematics (EMM) ;
25235192

附註 
Restricted to subscribers: https://www.emsph.org/ebooks.php 

This book is dedicated to equivariant mathematics, specifically the study of additive categories of objects with actions of finite groups. The framework of Mackey 2functors axiomatizes the variance of such categories as a function of the group. In other words, it provides a categorification of the widely used notion of Mackey functor, familiar to representation theorists and topologists. The book contains an extended catalogue of examples of such Mackey 2functors that are already in use in many mathematical fields from algebra to topology, from geometry to KKtheory. Among the first results of the theory, the ambidexterity theorem gives a way to construct further examples and the separable monadicity theorem explains how the value of a Mackey 2functor at a subgroup can be carved out of the value at a larger group, by a construction that generalizes ordinary localization in the same way that the étale topology generalizes the Zariski topology. The second part of the book provides a motivic approach to Mackey 2functors, 2categorifying the wellknown span construction of Dress and Lindner. This motivic theory culminates with the following application: The idempotents of Yoshida's crossed Burnside ring are the universal source of block decompositions. The book is selfcontained, with appendices providing extensive background and terminology. It is written for graduate students and more advanced researchers interested in category theory, representation theory and topology 
主題 
Mathematics and science bicssc


Group theory and generalizations msc


Category theory; homological algebra msc


$K$theory msc


Algebraic topology msc

Alt Author 
Dell'Ambrogio, Ivo, author

