Alexandrov Geometry: Foundations
Author:   Stephanie Alexander ,  Vitali Kapovitch ,  Anton Petrunin
Publisher:   American Mathematical Society
Volume:   236
ISBN:  

9781470473020


Pages:   277
Publication Date:   30 June 2024
Format:   Hardback
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Our Price $228.80 Quantity:  
Add to Cart

Share |

Alexandrov Geometry: Foundations


Add your own review!

Overview

Alexandrov spaces are defined via axioms similar to those of the Euclid axioms but where certain equalities are replaced with inequalities. Depending on the signs of the inequalities, we obtain Alexandrov spaces with curvature bounded above (CBA) and curvature bounded below (CBB). Even though the definitions of the two classes of spaces are similar, their properties and known applications are quite different. The goal of this book is to give a comprehensive exposition of the structure theory of Alexandrov spaces with curvature bounded above and below. It includes all the basic material as well as selected topics inspired by considering Alexandrov spaces with CBA and with CBB simultaneously. The book also includes an extensive problem list with solutions indicated for every problem.

Full Product Details

Author:   Stephanie Alexander ,  Vitali Kapovitch ,  Anton Petrunin
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
Volume:   236
Weight:   0.368kg
ISBN:  

9781470473020


ISBN 10:   147047302
Pages:   277
Publication Date:   30 June 2024
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

Preliminaries Model plane Metric spaces Maps and functions Ultralimits Space of spaces The ghost of Euclid Dimension theory Fundamentals Fundamentals of curvature bounded below Fundamentals of curvature bounded above Kirszbraun revisited Warped products Polyhedral spaces Structure and tools First order differentiation Dimension of CAT spaces Dimension of CBB spaces Gradient flow Semisolutions Bibliography Index

Reviews

Author Information

Stephanie Alexander, University of Illinois, Urbana-Champaign, IL. Vitali Kapovitch, University of Toronto, ON, Canada. Anton Petrunin, Pennsylvania State University, College State, PA.

Tab Content 6

Author Website:  

Customer Reviews

Recent Reviews

No review item found!

Add your own review!

Countries Available

All regions
Latest Reading Guide

MRG2025CC

 

Shopping Cart
Your cart is empty
 Shopping cart
Mailing List

 

Sign up now