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Category theory structures the mathematical world and is seen everywhere in modern mathematics. This book, suitable... Read More >>
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Based on a series of lectures for students in topology, this book provides an entry point into the intersection... Read More >>
This volume originated in the workshop held at Nagoya University, August 28–30, 2015, focusing on the surprising... Read More >>
This book offers a concise introduction to ergodic methods in group homology, with a particular focus on the computation... Read More >>
Functioning as a viable alternative to the standard algebraic analysis method, the categorical approach explored... Read More >>
Highlighting their significant connection with classical K-theory—which plays an important role in mathematics and... Read More >>
The present monograph develops a unified theory of Steinberg groups, independent of matrix representations, based... Read More >>
This book explores the mathematical field of topology, giving a sense of the visual elements of the field, as well... Read More >>
This textbook provides a gentle introduction to intersection homology and perverse sheaves, where concrete examples... Read More >>
The primary aim of this monograph is to achieve part of Beilinson’s program on mixed motives using Voevodsky’s theories... Read More >>
The text continues with Atiyah's question on possible values of ℓ²-Betti numbers and the relation to Kaplansky's... Read More >>
The relevance of 2-Segal spaces in the study of Hall and Hecke algebras is discussed.Higher Segal Spaces marks the... Read More >>
Presenting a mathematical analysis of problems related to the evolution of domains, this book provides various tools... Read More >>
Putting constraints on the nature of the interaction between nonsingular gradient - like fields and the boundary... Read More >>
An Invitation to Computational Homotopy is an introduction to elementary algebraic topology for those with an interest... Read More >>
This monograph presents a new model of mathematical structures called weak n-categories. These structures find their... Read More >>
Written by leading experts in the field, this monograph provides homotopy theoretic foundations for surgery theory... Read More >>
This is an in-depth report on the endotrivial modules, an important class of modular representations for finite... Read More >>
This user-friendly book introduces modern homotopy theory through the lens of higher categories after Joyal and... Read More >>
This book features a series of lectures that explores three different fields in which functor homology (short for... Read More >>