Coverart for item
The Resource An invitation to Alexandrov geometry : CAT(0) spaces, Stephanie Alexander, Vitali Kapovitch, Anton Petrunin

An invitation to Alexandrov geometry : CAT(0) spaces, Stephanie Alexander, Vitali Kapovitch, Anton Petrunin

Label
An invitation to Alexandrov geometry : CAT(0) spaces
Title
An invitation to Alexandrov geometry
Title remainder
CAT(0) spaces
Statement of responsibility
Stephanie Alexander, Vitali Kapovitch, Anton Petrunin
Creator
Contributor
Author
Subject
Language
eng
Member of
Cataloging source
N$T
http://library.link/vocab/creatorName
Alexander, Stephanie
Dewey number
516.373
Index
index present
LC call number
QA641
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorName
  • Kapovitch, Vitali
  • Petrunin, Anton
Series statement
SpringerBriefs in mathematics,
http://library.link/vocab/subjectName
  • Generalized spaces
  • Riemannian manifolds
  • Geometry, Riemannian
Label
An invitation to Alexandrov geometry : CAT(0) spaces, Stephanie Alexander, Vitali Kapovitch, Anton Petrunin
Instantiates
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • Intro; Preface; Early history of Alexandov geometry; Manifesto of Alexandrov geometry; Acknowledgements; Contents; 1 Preliminaries; 1.1 Metric spaces; 1.2 Constructions; 1.3 Geodesics, triangles, and hinges; 1.4 Length spaces; 1.5 Model angles and triangles; 1.6 Angles and the first variation; 1.7 Space of directions and tangent space; 1.8 Hausdorff convergence; 1.9 Gromov-Hausdorff convergence; 2 Gluing theorem and billiards; 2.1 The 4-point condition; 2.2 Thin triangles; 2.3 Reshetnyak's gluing theorem; 2.4 Reshetnyak puff pastry; 2.5 Wide corners; 2.6 Billiards; 2.7 Comments
  • 3 Globalization and asphericity3.1 Locally CAT spaces; 3.2 Space of local geodesic paths; 3.3 Globalization; 3.4 Polyhedral spaces; 3.5 Flag complexes; 3.6 Cubical complexes; 3.7 Exotic aspherical manifolds; 3.8 Comments; 4 Subsets; 4.1 Motivating examples; 4.2 Two-convexity; 4.3 Sets with smooth boundary; 4.4 Open plane sets; 4.5 Shefel's theorem; 4.6 Polyhedral case; 4.7 Two-convex hulls; 4.8 Proof of Shefel's theorem; 4.9 Comments; Semisolutions; References; ; Index
Dimensions
unknown
Extent
1 online resource.
File format
unknown
Form of item
online
Isbn
9783030053116
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • on1100588432
  • (OCoLC)1100588432
Label
An invitation to Alexandrov geometry : CAT(0) spaces, Stephanie Alexander, Vitali Kapovitch, Anton Petrunin
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • Intro; Preface; Early history of Alexandov geometry; Manifesto of Alexandrov geometry; Acknowledgements; Contents; 1 Preliminaries; 1.1 Metric spaces; 1.2 Constructions; 1.3 Geodesics, triangles, and hinges; 1.4 Length spaces; 1.5 Model angles and triangles; 1.6 Angles and the first variation; 1.7 Space of directions and tangent space; 1.8 Hausdorff convergence; 1.9 Gromov-Hausdorff convergence; 2 Gluing theorem and billiards; 2.1 The 4-point condition; 2.2 Thin triangles; 2.3 Reshetnyak's gluing theorem; 2.4 Reshetnyak puff pastry; 2.5 Wide corners; 2.6 Billiards; 2.7 Comments
  • 3 Globalization and asphericity3.1 Locally CAT spaces; 3.2 Space of local geodesic paths; 3.3 Globalization; 3.4 Polyhedral spaces; 3.5 Flag complexes; 3.6 Cubical complexes; 3.7 Exotic aspherical manifolds; 3.8 Comments; 4 Subsets; 4.1 Motivating examples; 4.2 Two-convexity; 4.3 Sets with smooth boundary; 4.4 Open plane sets; 4.5 Shefel's theorem; 4.6 Polyhedral case; 4.7 Two-convex hulls; 4.8 Proof of Shefel's theorem; 4.9 Comments; Semisolutions; References; ; Index
Dimensions
unknown
Extent
1 online resource.
File format
unknown
Form of item
online
Isbn
9783030053116
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • on1100588432
  • (OCoLC)1100588432

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