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The Resource Smoothings of Piecewise Linear Manifolds. (AM80), Barry Mazur, Morris W. Hirsch
Smoothings of Piecewise Linear Manifolds. (AM80), Barry Mazur, Morris W. Hirsch
Resource Information
The item Smoothings of Piecewise Linear Manifolds. (AM80), Barry Mazur, Morris W. Hirsch represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.This item is available to borrow from all library branches.
Resource Information
The item Smoothings of Piecewise Linear Manifolds. (AM80), Barry Mazur, Morris W. Hirsch represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.
This item is available to borrow from all library branches.
 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
 Language

 eng
 eng
 Extent
 1 online resource
 Contents

 Frontmatter
 PREFACE
 REFERENCES
 CONTENTS
 SMOOTHINGS OF PIECEWISE LINEAR MANIFOLDS I: PRODUCTS
 SMOOTHINGS OF PIECEWISE LINEAR MANIFOLDS II: CLASSIFICATION
 BIBLIOGRAPHY
 Backmatter
 Isbn
 9781400881680
 Label
 Smoothings of Piecewise Linear Manifolds. (AM80)
 Title
 Smoothings of Piecewise Linear Manifolds. (AM80)
 Statement of responsibility
 Barry Mazur, Morris W. Hirsch
 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
 DEB1597
 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. (AM80), Barry Mazur, Morris W. Hirsch
 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

 (DEB1597)467914
 (OCoLC)979633757
 (DEB1597)9781400881680
 Label
 Smoothings of Piecewise Linear Manifolds. (AM80), Barry Mazur, Morris W. Hirsch
 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

 (DEB1597)467914
 (OCoLC)979633757
 (DEB1597)9781400881680
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.bu.edu/portal/SmoothingsofPiecewiseLinearManifolds./tRKO_0ftCbg/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.bu.edu/portal/SmoothingsofPiecewiseLinearManifolds./tRKO_0ftCbg/">Smoothings of Piecewise Linear Manifolds. (AM80), Barry Mazur, Morris W. Hirsch</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.bu.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.bu.edu/">Boston University Libraries</a></span></span></span></span></div>