0
Your cart

Your cart is empty

Books > Science & Mathematics > Mathematics > Topology

Buy Now

Smoothings of Piecewise Linear Manifolds. (AM-80), Volume 80 (Paperback) Loot Price: R2,330
Discovery Miles 23 300
Smoothings of Piecewise Linear Manifolds. (AM-80), Volume 80 (Paperback): Morris W. Hirsch, Barry Mazur

Smoothings of Piecewise Linear Manifolds. (AM-80), Volume 80 (Paperback)

Morris W. Hirsch, Barry Mazur

Series: Annals of Mathematics Studies

 (sign in to rate)
Loot Price R2,330 Discovery Miles 23 300 | Repayment Terms: R218 pm x 12*

Bookmark and Share

Expected to ship within 10 - 15 working days

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.

General

Imprint: Princeton University Press
Country of origin: United States
Series: Annals of Mathematics Studies
Release date: November 2001
First published: October 1974
Authors: Morris W. Hirsch • Barry Mazur
Dimensions: 229 x 152 x 8mm (L x W x T)
Format: Paperback - Trade
Pages: 140
ISBN-13: 978-0-691-08145-8
Categories: Books > Science & Mathematics > Mathematics > Topology > General
Promotions
LSN: 0-691-08145-X
Barcode: 9780691081458

Is the information for this product incomplete, wrong or inappropriate? Let us know about it.

Does this product have an incorrect or missing image? Send us a new image.

Is this product missing categories? Add more categories.

Review This Product

No reviews yet - be the first to create one!

You might also like..

Differential Geometry - Bundles…
Clifford Henry Taubes Hardcover R4,015 Discovery Miles 40 150
Undergraduate Topology - A Working…
Aisling McCluskey, Brian McMaster Hardcover R2,187 Discovery Miles 21 870
Gromov-Witten Theory of Quotients of…
Hiroshi Iritani, Todor Milanov, … Paperback R2,210 Discovery Miles 22 100
Hyperskew Polyhedra - Being the Ninth…
Patrick Taylor Paperback R269 Discovery Miles 2 690
Topology - Pearson New International…
James Munkres Paperback R2,297 Discovery Miles 22 970
Groups and Topological Dynamics
Volodymyr Nekrashevych Paperback R2,257 Discovery Miles 22 570
Math Girls 6 - The Poincare Conjecture
Hiroshi Yuki Hardcover R883 Discovery Miles 8 830
Topology Through Inquiry
Michael Starbird, Francis Su Paperback R1,972 Discovery Miles 19 720
Stereotype Spaces and Algebras
Sergei S. Akbarov Hardcover R6,660 Discovery Miles 66 600
Introduction to Symplectic Topology
Dusa McDuff, Dietmar Salamon Hardcover R3,689 Discovery Miles 36 890
Metric Spaces and Complex Analysis
Hardcover R1,061 Discovery Miles 10 610
Noncommutative Geometry - A Functorial…
Igor V Nikolaev Hardcover R4,092 Discovery Miles 40 920

See more

Partners