Bibliograph

An Invitation to Alexandrov Geometry, CAT(0) Spaces, by Stephanie Alexander, Vitali Kapovitch, Anton Petrunin

Type

Label

An Invitation to Alexandrov Geometry, CAT(0) Spaces, by Stephanie Alexander, Vitali Kapovitch, Anton Petrunin

Language

eng

resource.imageBitDepth

Literary Form

non fiction

Main title

An Invitation to Alexandrov Geometry

Medium

electronic resource

Nature of contents

dictionaries

Oclc number

1100588432

Responsibility statement

by Stephanie Alexander, Vitali Kapovitch, Anton Petrunin

Series statement

SpringerBriefs in Mathematics,, 2191-8198Springer eBooksSpringer eBooks.

Sub title

CAT(0) Spaces

Summary

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 quickly moves forward to discuss the Reshetnyak gluing theorem and applies it to the billiards problems. The Hadamard–Cartan globalization theorem is explored and applied to construct exotic aspherical manifolds.--, Provided by publisher

Table Of Contents

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

Contributor

Creator