Pure Metric Geometry

1. Auflage 2023
ISBN: 978-3-031-39161-3
Verlag: Springer Nature Switzerland

Buch, Englisch, 103 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 184 g

Reihe: SpringerBriefs in Mathematics

This book serves as an introductory asset for learning metric geometry by delivering an in-depth examination of key constructions and providing an analysis of universal spaces, injective spaces, the Gromov-Hausdorff convergence, and ultralimits. This book illustrates basic examples of domestic affairs of metric spaces, this includes Alexandrov geometry, geometric group theory, metric-measure spaces and optimal transport.

Researchers in metric geometry will find this book appealing and helpful, in addition to graduate students in mathematics, and advanced undergraduate students in need of an introduction to metric geometry. Any previous knowledge of classical geometry, differential geometry, topology, and real analysis will be useful in understanding the presented topics. 

Zielgruppe

Research

Autoren/Hrsg.

Petrunin, Anton

Fachgebiete

• Mathematik | Informatik Mathematik Geometrie

Inhaltsverzeichnis

Preface.- Definitions.- Universal Spaces.- Injective Spaces.- Space of Subsets.- Space of Spaces.- Ultralimits.- Semisolutions.- Bibliography.

Über Autor(innen)

Anton Petrunin is Professor of Mathematics at Penn State.