Anton Petrunin – författare
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6 produkter
Alexandrov Geometry
Foundations
Av Stephanie Alexander, Vitali Kapovitch m. fl.
Inbunden, 2024
1629 kr
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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 …
Alexandrov Geometry
Foundations
Av Stephanie Alexander, Vitali Kapovitch m. fl.
Häftad, 2024
1070 kr
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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 …
Invitation to Alexandrov Geometry
CAT(0) Spaces
Av Anton Petrunin, Vitali Kapovitch m. fl.
E-bok, 2019
897 kr
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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 …
Pure Metric Geometry
Häftad, 2023
496 kr
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This book serves as an introductory asset for learning metric geometry by delivering an in-depth examination of key constructions and providing an analysis of universal spaces, injective spaces, the Gromov-Hausdorff convergence, and ultralimits. This book illustrates basic examples of domestic …
Pure Metric Geometry
E-bok, 2023
652 kr
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This book serves as an introductory asset for learning metric geometry by delivering an in-depth examination of key constructions and providing an analysis of universal spaces, injective spaces, the Gromov-Hausdorff convergence, and ultralimits. This book illustrates basic examples of domestic …
Invitation to Alexandrov Geometry: CAT(0) Spaces
Av Stephanie Alexander, Vitali Kapovitch m. fl.
Häftad, 2026
715 kr
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This volume discusses CAT(0) spaces – metric spaces with nonpositive curvature in the sense of Alexandrov – which may be viewed as a non-linear generalization of Hilbert spaces. The book showcases the beauty and power of Alexandrov geometry by reaching interesting applications and theorems with a …
