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Alexandrov geometry : foundations / Stephanie Alexander, Vitali Kapovitch, Anton Petrunin.

Math/Physics/Astronomy Library QA611.28 .A35 2024
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Format:
Book
Author/Creator:
Alexander, Stephanie, 1941- author.
Kapovitch, Vitali, 1969- author.
Petrunin, Anton, 1968- author.
Series:
Graduate studies in mathematics ; v. 236.
Graduate studies in mathematics ; 236
Language:
English
Subjects (All):
Metric spaces.
Global differential geometry.
Analytic spaces.
Physical Description:
xvii, 282 pages : illustrations ; 27 cm.
Place of Publication:
Providence, Rhode Island : American Mathematical Society, [2024]
Contents:
Model plane
Metric spaces
Maps and functions
Ultralimits
Space of spaces
The ghost of Euclid
Dimension theory
Fundamentals of curvature bounded below
Fundamentals of curvature bounded above
Kirszbraun revisited
Warped products
Polyhedral spaces
First order differentiation
Dimension of CAT spaces
Dimension of CBB spaces
Gradient flow.
Notes:
Includes bibliographical references and index.
ISBN:
9781470473020
147047302X
9781470475369
1470475367
OCLC:
1400038900

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