Introduction to topological manifolds by Lee J.

Introduction to topological manifolds



Download Introduction to topological manifolds




Introduction to topological manifolds Lee J.
Language: English
Page: 452
Format: pdf
ISBN: 1441979395, 9781441979391
Publisher: Springer

Review

"This book is an introduction to manifolds on the beginning graduate level. It provides a readable text allowing every mathematics student to get a good knowledge of manifolds in the same way that most students come to know real numbers, Euclidean spaces, groups, etc. It starts by showing the role manifolds play in nearly every major branch of mathematics.

The book has 13 chapters and can be divided into five major sections. The first section, Chapters 2 through 4, is a brief and sufficient introduction to the ideas of general topology: topological spaces, their subspaces, products and quotients, connectedness and compactness.

The second section, Chapters 5 and 6, explores in detail the main examples that motivate the rest of the theory: simplicial complexes, 1- and 2-manifolds. It introduces simplicial complexes in both ways---first concretely, in Euclidean space, and then abstractly, as collections of finite vertex sets. Then it gives classification theorems for 1-manifolds and compact surfaces, essentially following the treatment in W. Massey's \ref[ Algebraic topology: an introduction, Reprint of the 1967 edition, Springer, New York, 1977; MR0448331 (56 \#6638)].

The third section (the core of the book), Chapters 7--10, gives a complete treatment of the fundamental group, including a brief introduction to group theory (free products, free groups, presentations of groups, free abelian groups), as well as the statement and proof of the Seifert-Van Kampen theorem.

The fourth major section consists of Chapters 11 and 12, on covering spaces, including proofs that every manifold has a universal covering and that the universal covering space covers every other covering space, as well as quotients by free proper actions of discrete groups.

The last Chapter 13 covers homology theory, including homotopy invariance and the Mayer-Vietoris theorem.

The book gives an ample opportunity to the reader to learn the subject by working out a large number of examples, exercises and problems. The latter are collected at the end of each chapter."  (B.N. Apanasov, Mathematical Reviews) 


--This text refers to an out of print or unavailable edition of this title.

From the Author

There is a second edition of this book available as of January 2011: amzn.com/1441979395. Check it out!
--This text refers to an out of print or unavailable edition of this title.

MORE EBOOKS:
Rhetoric of Characterization of God, Jesus, and Jesus' Disciples in the Gospel of Mark ebook free download
The Power of Limits: Proportional Harmonies in Nature, Art, and Architecture ebook free download
Download Symbolism of the Cross e book
Download Bliss and Other Short Stories e book
Download The Modern Law of Contract: Seventh Edition e book







Tags: Introduction to topological manifolds ebook pdf epub djvu mobi rar
Introduction to topological manifolds pdf epub djvu free download
Download Introduction to topological manifolds free ebook pdf epub
Introduction to topological manifolds read online free book
Introduction to topological manifolds cheap ebook for kindle and nook
Lee J. ebooks and audio books
Introduction to topological manifolds download pdf epub rar rapidshare mediafire fileserve 4shared torrent depositfiles scribd