The Resource Smoothings of Piecewise Linear Manifolds. (AM-80), Barry Mazur, Morris W. Hirsch

Smoothings of Piecewise Linear Manifolds. (AM-80), Barry Mazur, Morris W. Hirsch

Label
Smoothings of Piecewise Linear Manifolds. (AM-80)
Title
Smoothings of Piecewise Linear Manifolds. (AM-80)
Statement of responsibility
Barry Mazur, Morris W. Hirsch
Creator
Contributor
Author
Provider
Subject
Language
  • eng
  • eng
Summary
The intention of the authors is to examine the relationship between piecewise linear structure and differential structure: a relationship, they assert, that can be understood as a homotopy obstruction theory, and, hence, can be studied by using the traditional techniques of algebraic topology. Thus the book attacks the problem of existence and classification (up to isotopy) of differential structures compatible with a given combinatorial structure on a manifold. The problem is completely "solved" in the sense that it is reduced to standard problems of algebraic topology. The first part of the book is purely geometrical; it proves that every smoothing of the product of a manifold M and an interval is derived from an essentially unique smoothing of M. In the second part this result is used to translate the classification of smoothings into the problem of putting a linear structure on the tangent microbundle of M. This in turn is converted to the homotopy problem of classifying maps from M into a certain space PL/O. The set of equivalence classes of smoothings on M is given a natural abelian group structure
Cataloging source
DE-B1597
http://library.link/vocab/creatorName
Hirsch, Morris W
Government publication
other
LC call number
QA613.4
LC item number
.H57 1974eb
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
  • Mazur, Barry
  • De Gruyter
Series statement
Annals of Mathematics Studies,
Series volume
80
http://library.link/vocab/subjectName
  • Manifolds (Mathematics)
  • Piecewise linear topology
Target audience
specialized
Label
Smoothings of Piecewise Linear Manifolds. (AM-80), Barry Mazur, Morris W. Hirsch
Instantiates
Publication
Copyright
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
  • Frontmatter
  • PREFACE
  • REFERENCES
  • CONTENTS
  • SMOOTHINGS OF PIECEWISE LINEAR MANIFOLDS I: PRODUCTS
  • SMOOTHINGS OF PIECEWISE LINEAR MANIFOLDS II: CLASSIFICATION
  • BIBLIOGRAPHY
  • Backmatter
Extent
1 online resource
Form of item
online
Isbn
9781400881680
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1515/9781400881680
Specific material designation
remote
System control number
  • (DE-B1597)467914
  • (OCoLC)979633757
  • (DE-B1597)9781400881680
Label
Smoothings of Piecewise Linear Manifolds. (AM-80), Barry Mazur, Morris W. Hirsch
Publication
Copyright
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
  • Frontmatter
  • PREFACE
  • REFERENCES
  • CONTENTS
  • SMOOTHINGS OF PIECEWISE LINEAR MANIFOLDS I: PRODUCTS
  • SMOOTHINGS OF PIECEWISE LINEAR MANIFOLDS II: CLASSIFICATION
  • BIBLIOGRAPHY
  • Backmatter
Extent
1 online resource
Form of item
online
Isbn
9781400881680
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1515/9781400881680
Specific material designation
remote
System control number
  • (DE-B1597)467914
  • (OCoLC)979633757
  • (DE-B1597)9781400881680

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