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010   $a3-030-05312-1
024 7 $a10.1007/978-3-030-05312-3
035   $a(CKB)4100000008153870
035   $a(MiAaPQ)EBC5771143
035   $a(DE-He213)978-3-030-05312-3
035   $a(PPN)236523511
035   $a(EXLCZ)994100000008153870
100   $a20190508d2019      u|         0
101 0 $aeng
135   $aurcnu||||||||
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 13$aAn Invitation to Alexandrov Geometry $eCAT(0) Spaces /$fby Stephanie Alexander, Vitali Kapovitch, Anton Petrunin
205   $a1st ed. 2019.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2019.
215   $a1 online resource (95 pages)
225 1 $aSpringerBriefs in Mathematics,$x2191-8198
311   $a3-030-05311-3 
327   $a1 Preliminaries -- 2 Gluing theorem and billiards -- 3 Globalization and asphericity -- 4 Subsets -- 5 Semisolutions.
330   $aAimed toward graduate students and research mathematicians, with minimal prerequisites this book provides a fresh take on Alexandrov geometry and explains the importance of CAT(0) geometry in geometric group theory. Beginning with an overview of fundamentals, definitions, and conventions, this book quickly moves forward to discuss the Reshetnyak gluing theorem and applies it to the billiards problems. The Hadamard?Cartan globalization theorem is explored and applied to construct exotic aspherical manifolds.
410  0$aSpringerBriefs in Mathematics,$x2191-8198
606   $aDifferential geometry
606   $aGroup theory
606   $aDifferential Geometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M21022
606   $aGroup Theory and Generalizations$3https://scigraph.springernature.com/ontologies/product-market-codes/M11078
615  0$aDifferential geometry.
615  0$aGroup theory.
615 14$aDifferential Geometry.
615 24$aGroup Theory and Generalizations.
676   $a513.8
676   $a516.373
700   $aAlexander$b Stephanie$4aut$4http://id.loc.gov/vocabulary/relators/aut$0780987
702   $aKapovitch$b Vitali$4aut$4http://id.loc.gov/vocabulary/relators/aut
702   $aPetrunin$b Anton$4aut$4http://id.loc.gov/vocabulary/relators/aut
906   $aBOOK
912   $a9910338247603321
996   $aAn Invitation to Alexandrov Geometry$92510889
997   $aUNINA