Algebraic Topology: An Introduction - download pdf or read online

By William S. Massey

ISBN-10: 0387902716

ISBN-13: 9780387902715

Ocr'd

William S. Massey Professor Massey, born in Illinois in 1920, acquired his bachelor's measure from the collage of Chicago after which served for 4 years within the U.S. army in the course of global struggle II. After the battle he bought his Ph.D. from Princeton college and spent extra years there as a post-doctoral study assistant. He then taught for ten years at the college of Brown collage, and moved to his current place at Yale in 1960. he's the writer of diverse study articles on algebraic topology and similar themes. This ebook built from lecture notes of classes taught to Yale undergraduate and graduate scholars over a interval of numerous years.

Show description

Read Online or Download Algebraic Topology: An Introduction PDF

Similar topology books

A Topological Picturebook - download pdf or read online

Goals to inspire mathematicians to demonstrate their paintings and to aid artists comprehend the guidelines expressed by means of such drawings. This booklet explains the photo layout of illustrations from Thurston's international of low-dimensional geometry and topology. It offers the rules of linear and aerial standpoint from the point of view of projective geometry.

Get Cyclic Homology in Non-Commutative Geometry PDF

This quantity comprises contributions by way of 3 authors and treats features of noncommutative geometry which are relating to cyclic homology. The authors provide quite entire bills of cyclic conception from diverse and complementary issues of view. The connections among topological (bivariant) K-theory and cyclic thought through generalized Chern-characters are mentioned intimately.

Differential Topology, Foliations, and Group Actions: - download pdf or read online

This quantity includes the lawsuits of the Workshop on Topology held on the Pontif? cia Universidade Cat? lica in Rio de Janeiro in January 1992. Bringing jointly approximately one hundred mathematicians from Brazil and worldwide, the workshop lined quite a few subject matters in differential and algebraic topology, together with staff activities, foliations, low-dimensional topology, and connections to differential geometry.

Elementary Topology: Problem Textbook by O. Ya. Viro, O. A. Ivanov, N. Yu. Netsvetaev, and V. M. PDF

This textbook on common topology encompasses a distinct advent to common topology and an advent to algebraic topology through its such a lot classical and common phase established on the notions of basic workforce and masking area. The e-book is adapted for the reader who's decided to paintings actively.

Extra info for Algebraic Topology: An Introduction

Example text

If we remove a small Open 3-dimensional disc from the interior of P2 X I, then we obtain a mani- fold with boundary such that the boundary has three components: P2 X {0}, P2 X {1}, and a 2-sphere which is the boundary of the removed disc. Thus, two of the boundary components are nonorientable, and one of them is orientable. 1 Prove that the product of a manifold and a manifold with boundary is a manifold with boundary. What is the boundary of the product? 2 Let P be a polygon. Assume that certain paired edges of P are identified, but not all edges of P are included among these pairs.

The reader should note that the terms “interior” and “boundary” were used in the preceding paragraphs in a sense different from that which is usual in point set topology. However, this will seldom lead to any confusion. Examples show that a manifold with boundary may be compact or noncompact, connected or not connected. A noncompact manifold with boundary may or may not have a countable basis of open sets. In any 36 / CHAPTER ONE Two-Dimensional Manifolds case, it is always locally compact. We should note that the boundary of a connected manifold may be disconnected; also, the boundary of a noncompact manifold may be compact.

It remains to treat the case in which there are pairs of both the first and second kind at this stage. 1 The connected sum of a torus and a projective plane is homeomorphic to the connected sum of three projective planes. 3). Thus, we must prove that the connected sum of a projective plane and a torus is homeomorphic to the connected sum of a projective plane and a Klein Bottle. To do this it will be convenient to give an alternative construc- tion for a connected sum of any surface S with a torus or a Klein Bottle.

Download PDF sample

Algebraic Topology: An Introduction by William S. Massey


by Daniel
4.5

Rated 4.18 of 5 – based on 5 votes

About admin