The Resource Foundational essays on topological manifolds, smoothings, and triangulations, by Robion C. Kirby and Laurence C. Siebenmann
Foundational essays on topological manifolds, smoothings, and triangulations, by Robion C. Kirby and Laurence C. Siebenmann
Resource Information
The item Foundational essays on topological manifolds, smoothings, and triangulations, by Robion C. Kirby and Laurence C. Siebenmann represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of San Diego Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Foundational essays on topological manifolds, smoothings, and triangulations, by Robion C. Kirby and Laurence C. Siebenmann represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of San Diego Libraries.
This item is available to borrow from 1 library branch.
- Summary
- Since Poincaré's time, topologists have been most concerned with three species of manifold. The most primitive of these--the TOP manifolds--remained rather mysterious until 1968, when Kirby discovered his now famous torus unfurling device. A period of rapid progress with TOP manifolds ensued, including, in 1969, Siebenmann's refutation of the Hauptvermutung and the Triangulation Conjecture. Here is the first connected account of Kirby's and Siebenmann's basic research in this area. The five sections of this book are introduced by three articles by the authors that initially appeared between 1968 and 1970. Appendices provide a full discussion of the classification of homotopy tori, including Casson's unpublished work and a consideration of periodicity in topological surgery
- Language
- eng
- Extent
- 1 online resource (v, 355 pages)
- Contents
-
- Essay V. Classification of sliced families of manifold structures
- Annex A. Stable homeomorphisms and the annulus conjecture
- Annex B. On The Triangulation of Manifolds and the Hauptvermutung
- Annex C. Topological Manifolds
- Note on Involutions
- Combined Bibliography
- Index
- Backmatter
- Frontmatter
- Foreword
- Table of contents
- Guide
- Essay I. Deformation of smooth and piecewise linear manifold structures
- Essay II. Deformation of sliced families of manifold structures
- Essay III. Some basic theorems about topological manifolds
- Essay IV. Stable classification of smooth and piecewise linear manifold structures
- Isbn
- 9781400881505
- Label
- Foundational essays on topological manifolds, smoothings, and triangulations
- Title
- Foundational essays on topological manifolds, smoothings, and triangulations
- Statement of responsibility
- by Robion C. Kirby and Laurence C. Siebenmann
- Subject
-
- Manifolds (Mathematics)
- Manifolds (Mathematics)
- Piecewise linear topology
- Piecewise linear topology
- Topologie linéaire pièce par pièce
- Topologische Mannigfaltigkeit
- Triangulating manifolds
- Triangulating manifolds
- Triangulation
- Variétes triangulées
- Variétés (Mathématiques)
- Variétés (mathématiques)
- Variétés topologiques
- Variétés triangulées
- Electronic books
- MATHEMATICS -- Topology
- Language
- eng
- Summary
- Since Poincaré's time, topologists have been most concerned with three species of manifold. The most primitive of these--the TOP manifolds--remained rather mysterious until 1968, when Kirby discovered his now famous torus unfurling device. A period of rapid progress with TOP manifolds ensued, including, in 1969, Siebenmann's refutation of the Hauptvermutung and the Triangulation Conjecture. Here is the first connected account of Kirby's and Siebenmann's basic research in this area. The five sections of this book are introduced by three articles by the authors that initially appeared between 1968 and 1970. Appendices provide a full discussion of the classification of homotopy tori, including Casson's unpublished work and a consideration of periodicity in topological surgery
- Cataloging source
- JSTOR
- http://library.link/vocab/creatorDate
- 1938-
- http://library.link/vocab/creatorName
- Kirby, Robion C.
- Illustrations
- illustrations
- Index
- index present
- Language note
- In English
- Literary form
- non fiction
- Nature of contents
-
- dictionaries
- bibliography
- http://library.link/vocab/relatedWorkOrContributorDate
- 1939-
- http://library.link/vocab/relatedWorkOrContributorName
- Siebenmann, Laurence C.
- Series statement
- Annals of mathematics studies
- Series volume
- number 88
- http://library.link/vocab/subjectName
-
- Manifolds (Mathematics)
- Piecewise linear topology
- Triangulating manifolds
- Variétés (Mathématiques)
- Topologie linéaire pièce par pièce
- Variétes triangulées
- MATHEMATICS
- Manifolds (Mathematics)
- Piecewise linear topology
- Triangulating manifolds
- Topologische Mannigfaltigkeit
- Variétés topologiques
- Triangulation
- Variétés (mathématiques)
- Variétés triangulées
- Label
- Foundational essays on topological manifolds, smoothings, and triangulations, by Robion C. Kirby and Laurence C. Siebenmann
- Antecedent source
- unknown
- Bibliography note
- Includes bibliographical references (pages 339-352) 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
-
- Essay V. Classification of sliced families of manifold structures
- Annex A. Stable homeomorphisms and the annulus conjecture
- Annex B. On The Triangulation of Manifolds and the Hauptvermutung
- Annex C. Topological Manifolds
- Note on Involutions
- Combined Bibliography
- Index
- Backmatter
- Frontmatter
- Foreword
- Table of contents
- Guide
- Essay I. Deformation of smooth and piecewise linear manifold structures
- Essay II. Deformation of sliced families of manifold structures
- Essay III. Some basic theorems about topological manifolds
- Essay IV. Stable classification of smooth and piecewise linear manifold structures
- Control code
- ocn945632221
- Dimensions
- unknown
- Extent
- 1 online resource (v, 355 pages)
- File format
- unknown
- Form of item
- online
- Isbn
- 9781400881505
- Level of compression
- unknown
- Media category
- computer
- Media MARC source
- rdamedia
- Media type code
-
- c
- Note
- JSTOR
- Other control number
- 10.1515/9781400881505
- Other physical details
- illustrations
- http://library.link/vocab/ext/overdrive/overdriveId
- 22573/ctt1b9g3vf
- Quality assurance targets
- not applicable
- Reformatting quality
- unknown
- Sound
- unknown sound
- Specific material designation
- remote
- System control number
- (OCoLC)945632221
- Label
- Foundational essays on topological manifolds, smoothings, and triangulations, by Robion C. Kirby and Laurence C. Siebenmann
- Antecedent source
- unknown
- Bibliography note
- Includes bibliographical references (pages 339-352) 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
-
- Essay V. Classification of sliced families of manifold structures
- Annex A. Stable homeomorphisms and the annulus conjecture
- Annex B. On The Triangulation of Manifolds and the Hauptvermutung
- Annex C. Topological Manifolds
- Note on Involutions
- Combined Bibliography
- Index
- Backmatter
- Frontmatter
- Foreword
- Table of contents
- Guide
- Essay I. Deformation of smooth and piecewise linear manifold structures
- Essay II. Deformation of sliced families of manifold structures
- Essay III. Some basic theorems about topological manifolds
- Essay IV. Stable classification of smooth and piecewise linear manifold structures
- Control code
- ocn945632221
- Dimensions
- unknown
- Extent
- 1 online resource (v, 355 pages)
- File format
- unknown
- Form of item
- online
- Isbn
- 9781400881505
- Level of compression
- unknown
- Media category
- computer
- Media MARC source
- rdamedia
- Media type code
-
- c
- Note
- JSTOR
- Other control number
- 10.1515/9781400881505
- Other physical details
- illustrations
- http://library.link/vocab/ext/overdrive/overdriveId
- 22573/ctt1b9g3vf
- Quality assurance targets
- not applicable
- Reformatting quality
- unknown
- Sound
- unknown sound
- Specific material designation
- remote
- System control number
- (OCoLC)945632221
Subject
- Manifolds (Mathematics)
- Manifolds (Mathematics)
- Piecewise linear topology
- Piecewise linear topology
- Topologie linéaire pièce par pièce
- Topologische Mannigfaltigkeit
- Triangulating manifolds
- Triangulating manifolds
- Triangulation
- Variétes triangulées
- Variétés (Mathématiques)
- Variétés (mathématiques)
- Variétés topologiques
- Variétés triangulées
- Electronic books
- MATHEMATICS -- Topology
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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.sandiego.edu/portal/Foundational-essays-on-topological-manifolds/SuXf8b0Z5f4/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.sandiego.edu/portal/Foundational-essays-on-topological-manifolds/SuXf8b0Z5f4/">Foundational essays on topological manifolds, smoothings, and triangulations, by Robion C. Kirby and Laurence C. Siebenmann</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.sandiego.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.sandiego.edu/">University of San Diego Libraries</a></span></span></span></span></div>
