Alexandrov Geometry

Foundations

Stephanie Alexander, Vitali Kapovitch, Anton Petrunin

$312

Hardback

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English

American Mathematical Society
30 June 2024

Geometry; Topology

Series: Graduate Studies in Mathematics

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.

By: Stephanie Alexander, Vitali Kapovitch, Anton Petrunin
Imprint: American Mathematical Society
Country of Publication: United States
Volume: 236
Dimensions: Height: 254mm, Width: 178mm,
Weight: 368g
ISBN: 9781470473020
ISBN 10: 147047302X
Series: Graduate Studies in Mathematics
Pages: 277
Publication Date: 30 June 2024
Audience: Professional and scholarly , Undergraduate
Format: Hardback
Publisher's Status: Active

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

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Alexandrov Geometry

Foundations

Stephanie Alexander, Vitali Kapovitch, Anton Petrunin

$312

Hardback

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