Cobordism Properties of Manifolds with Small Lusternik-Schnirelmann Category
Title | Cobordism Properties of Manifolds with Small Lusternik-Schnirelmann Category PDF eBook |
Author | Harpreet Singh |
Publisher | |
Pages | 92 |
Release | 1985 |
Genre | Cobordism theory |
ISBN |
Surgery on Compact Manifolds
Title | Surgery on Compact Manifolds PDF eBook |
Author | Charles Terence Clegg Wall |
Publisher | American Mathematical Soc. |
Pages | 321 |
Release | 1999 |
Genre | Mathematics |
ISBN | 0821809423 |
The publication of this book in 1970 marked the culmination of a period in the history of the topology of manifolds. This edition, based on the original text, is supplemented by notes on subsequent developments and updated references and commentaries.
Lusternik-Schnirelmann Category
Title | Lusternik-Schnirelmann Category PDF eBook |
Author | Octavian Cornea |
Publisher | American Mathematical Soc. |
Pages | 352 |
Release | 2003 |
Genre | Mathematics |
ISBN | 0821834045 |
''Lusternik-Schnirelmann category is like a Picasso painting. Looking at category from different perspectives produces completely different impressions of category's beauty and applicability.'' --from the Introduction Lusternik-Schnirelmann category is a subject with ties to both algebraic topology and dynamical systems. The authors take LS-category as the central theme, and then develop topics in topology and dynamics around it. Included are exercises and many examples. The book presents the material in a rich, expository style. The book provides a unified approach to LS-category, including foundational material on homotopy theoretic aspects, the Lusternik-Schnirelmann theorem on critical points, and more advanced topics such as Hopf invariants, the construction of functions with few critical points, connections with symplectic geometry, the complexity of algorithms, and category of $3$-manifolds. This is the first book to synthesize these topics. It takes readers from the very basics of the subject to the state of the art. Prerequisites are few: two semesters of algebraic topology and, perhaps, differential topology. It is suitable for graduate students and researchers interested
Dissertation Abstracts International
Title | Dissertation Abstracts International PDF eBook |
Author | |
Publisher | |
Pages | 758 |
Release | 1986 |
Genre | Dissertations, Academic |
ISBN |
Comprehensive Dissertation Index
Title | Comprehensive Dissertation Index PDF eBook |
Author | |
Publisher | |
Pages | 984 |
Release | 1989 |
Genre | Dissertations, Academic |
ISBN |
American Doctoral Dissertations
Title | American Doctoral Dissertations PDF eBook |
Author | |
Publisher | |
Pages | 696 |
Release | 1985 |
Genre | Dissertation abstracts |
ISBN |
On Thom Spectra, Orientability, and Cobordism
Title | On Thom Spectra, Orientability, and Cobordism PDF eBook |
Author | Yu. B. Rudyak |
Publisher | Springer Science & Business Media |
Pages | 593 |
Release | 2007-12-12 |
Genre | Mathematics |
ISBN | 3540777512 |
Rudyak’s groundbreaking monograph is the first guide on the subject of cobordism since Stong's influential notes of a generation ago. It concentrates on Thom spaces (spectra), orientability theory and (co)bordism theory (including (co)bordism with singularities and, in particular, Morava K-theories). These are all framed by (co)homology theories and spectra. The author has also performed a service to the history of science in this book, giving detailed attributions.