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02636nam a2200493 4500 |
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978-3-030-05312-3 |
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DE-He213 |
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20191027161237.0 |
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cr nn 008mamaa |
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190508s2019 gw | s |||| 0|eng d |
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|a 9783030053123
|9 978-3-030-05312-3
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|a 10.1007/978-3-030-05312-3
|2 doi
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|a Alexander, Stephanie.
|e author.
|4 aut
|4 http://id.loc.gov/vocabulary/relators/aut
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|a An Invitation to Alexandrov Geometry
|h [electronic resource] :
|b CAT(0) Spaces /
|c by Stephanie Alexander, Vitali Kapovitch, Anton Petrunin.
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| 250 |
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|a 1st ed. 2019.
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| 264 |
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|a Cham :
|b Springer International Publishing :
|b Imprint: Springer,
|c 2019.
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| 300 |
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|a XII, 88 p. 91 illus.
|b online resource.
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| 336 |
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
|2 rdacarrier
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|a text file
|b PDF
|2 rda
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| 490 |
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|a SpringerBriefs in Mathematics,
|x 2191-8198
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|a 1 Preliminaries -- 2 Gluing theorem and billiards -- 3 Globalization and asphericity -- 4 Subsets -- 5 Semisolutions.
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|a 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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|a Differential geometry.
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| 650 |
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|a Group theory.
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|a Differential Geometry.
|0 http://scigraph.springernature.com/things/product-market-codes/M21022
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| 650 |
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|a Group Theory and Generalizations.
|0 http://scigraph.springernature.com/things/product-market-codes/M11078
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| 700 |
1 |
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|a Kapovitch, Vitali.
|e author.
|4 aut
|4 http://id.loc.gov/vocabulary/relators/aut
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| 700 |
1 |
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|a Petrunin, Anton.
|e author.
|4 aut
|4 http://id.loc.gov/vocabulary/relators/aut
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| 710 |
2 |
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|a SpringerLink (Online service)
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| 773 |
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|t Springer eBooks
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| 776 |
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|i Printed edition:
|z 9783030053116
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| 776 |
0 |
8 |
|i Printed edition:
|z 9783030053130
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| 830 |
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|a SpringerBriefs in Mathematics,
|x 2191-8198
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| 856 |
4 |
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|u https://doi.org/10.1007/978-3-030-05312-3
|z Full Text via HEAL-Link
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| 912 |
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|a ZDB-2-SMA
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| 950 |
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|a Mathematics and Statistics (Springer-11649)
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