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Large Scale Geometry
EMS Textbooks in Mathematics

Piotr W. Nowak (IM PAN, Warsaw, Poland)
Guoliang Yu (Texas A&M University, College Station, USA)

Large Scale Geometry

ISBN print 978-3-03719-112-5, ISBN online 978-3-03719-612-0
DOI 10.4171/112
October 2012, 203 pages, hardcover, 16.5 x 23.5 cm.
38.00 Euro

Large scale geometry is the study of geometric objects viewed from a great distance.

The idea of large scale geometry can be traced back to Mostow’s work on rigidity and the work of Švarc, Milnor and Wolf on growth of groups. In the last decades, large scale geometry has found important applications in group theory, topology, geometry, higher index theory, computer science, and large data analysis.

This book provides a friendly approach to the basic theory of this exciting and fast growing subject and offers a glimpse of its applications to topology, geometry, and higher index theory.

The authors have made a conscientious effort to make the book accessible to advanced undergraduate students, graduate students, and non-experts.

Keywords: Large scale geometry, quasi-isometry, coarse geometry, asymptotic dimension, finite decomposition complexity, amenability, Property A, coarse embedding, expanders, a-T-menability, coarse homology, uniformly finite homology, Baum–Connes conjecture, coarse Baum–Connes conjecture, Novikov conjecture, Borel conjecture

Further Information

Review in Zentralblatt MATH 06093570

Review in MR 2986138

Review in Jahresbericht der DMV 116 (2014), 119–122