Piecewise Linear Concordances and Isotopies
Title | Piecewise Linear Concordances and Isotopies PDF eBook |
Author | Kenneth C. Millett |
Publisher | American Mathematical Soc. |
Pages | 81 |
Release | 1974 |
Genre | Mathematics |
ISBN | 0821818538 |
The geometrical techniques in piecewise linear topology are extended to the situation where one has a projection which must be preserved. These include general position, sunny collapsing and engulfing. They are employed to study the relative homotopy groups of the simplicial spaces of concordances and isotopies and, consequently, five a proff of a parameterized version of Hudson's concordance implies isotopy theorem.
Smoothings of Piecewise Linear Manifolds. (AM-80), Volume 80
Title | Smoothings of Piecewise Linear Manifolds. (AM-80), Volume 80 PDF eBook |
Author | Morris W. Hirsch |
Publisher | Princeton University Press |
Pages | 149 |
Release | 2016-03-02 |
Genre | Mathematics |
ISBN | 1400881684 |
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.
Library of Congress Subject Headings
Title | Library of Congress Subject Headings PDF eBook |
Author | Library of Congress. Cataloging Policy and Support Office |
Publisher | |
Pages | 1512 |
Release | 2007 |
Genre | Subject headings, Library of Congress |
ISBN |
Library of Congress Subject Headings
Title | Library of Congress Subject Headings PDF eBook |
Author | Library of Congress |
Publisher | |
Pages | 1174 |
Release | 1998 |
Genre | Subject headings, Library of Congress |
ISBN |
Library of Congress Subject Headings: P-Z
Title | Library of Congress Subject Headings: P-Z PDF eBook |
Author | Library of Congress. Subject Cataloging Division |
Publisher | |
Pages | 1436 |
Release | 1988 |
Genre | Subject headings, Library of Congress |
ISBN |
Library of Congress Subject Headings
Title | Library of Congress Subject Headings PDF eBook |
Author | Library of Congress. Office for Subject Cataloging Policy |
Publisher | |
Pages | 1622 |
Release | 1990 |
Genre | Subject headings, Library of Congress |
ISBN |
F-O
Title | F-O PDF eBook |
Author | Library of Congress. Office for Subject Cataloging Policy |
Publisher | |
Pages | 1636 |
Release | 1990 |
Genre | Subject headings, Library of Congress |
ISBN |