An Invitation to Alexandrov Geometry CAT(0) Spaces /

• Main Authors: Alexander, Stephanie (Author, http://id.loc.gov/vocabulary/relators/aut), Kapovitch, Vitali (http://id.loc.gov/vocabulary/relators/aut), Petrunin, Anton (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2019.
• Edition: 1st ed. 2019.
• Series: SpringerBriefs in Mathematics,
• Subjects: Differential geometry.; Group theory.; Differential Geometry.; Group Theory and Generalizations.

Aimed toward graduate students and research mathematicians, with minimal prerequisites this book provides a fresh take on Alexandrov geometry and explains the importance of CAT(0) geometry in geometric group theory. Beginning with an overview of fundamentals, definitions, and conventions, this book...

Table of Contents:

• 1 Preliminaries
• 2 Gluing theorem and billiards
• 3 Globalization and asphericity
• 4 Subsets
• 5 Semisolutions.