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Record Nr. |
UNINA9910338247603321 |
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Autore |
Alexander Stephanie |
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Titolo |
An Invitation to Alexandrov Geometry : CAT(0) Spaces / / by Stephanie Alexander, Vitali Kapovitch, Anton Petrunin |
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Pubbl/distr/stampa |
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Cham : , : Springer International Publishing : , : Imprint : Springer, , 2019 |
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ISBN |
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Edizione |
[1st ed. 2019.] |
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Descrizione fisica |
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1 online resource (95 pages) |
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Collana |
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SpringerBriefs in Mathematics, , 2191-8198 |
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Disciplina |
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Soggetti |
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Differential geometry |
Group theory |
Differential Geometry |
Group Theory and Generalizations |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di contenuto |
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1 Preliminaries -- 2 Gluing theorem and billiards -- 3 Globalization and asphericity -- 4 Subsets -- 5 Semisolutions. |
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Sommario/riassunto |
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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 quickly moves forward to discuss the Reshetnyak gluing theorem and applies it to the billiards problems. The Hadamard–Cartan globalization theorem is explored and applied to construct exotic aspherical manifolds. |
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