An Invitation to Coarse Groups

by Arielle Leitner and Federico Vigolo

This book lays the foundation for a theory of coarse groups: namely, sets with operations that satisfy the group axioms "up to uniformly bounded error". These structures are the group objects in the category of coarse spaces, and arise naturally as approximate subgroups, or as coarse kernels.

The first aim is to provide a standard entry-level introduction to coarse groups. Extra care has been taken to give a detailed, self-contained and accessible...

• Format: Paperback
• Language: English
• ISBN: 3031427599
• ISBN13: 9783031427596
• Release Date: December 2023
• Publisher: Springer
• Length: 248 Pages
• Weight: 1.05 lbs.
• Dimensions: 0.6" x 6.1" x 9.2"