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Alexandrov Geometry Foundations Alexander Stephanie Kapovitch

  • SKU: BELL-56322814
Alexandrov Geometry Foundations Alexander Stephanie Kapovitch
$ 31.00 $ 45.00 (-31%)

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Alexandrov Geometry Foundations Alexander Stephanie Kapovitch instant download after payment.

Publisher: Providence, Rhode Island : American Mathematical Society,
File Extension: PDF
File size: 2.69 MB
Pages: 300
Author: Alexander, Stephanie, Kapovitch, Vitali and Petrunin, Anton
ISBN: 9781470473020, 147047302X
Language: English
Year: 2024
Volume: 236

Product desciption

Alexandrov Geometry Foundations Alexander Stephanie Kapovitch by Alexander, Stephanie, Kapovitch, Vitali And Petrunin, Anton 9781470473020, 147047302X instant download after payment.

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.

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