Synopses & Reviews
William S. Massey Professor Massey, born in Illinois in 1920, received his bachelor's degree from the University of Chicago and then served for four years in the U.S. Navy during World War II. After the War he received his Ph.D. from Princeton University and spent two additional years there as a post-doctoral research assistant. He then taught for ten years on the faculty of Brown University, and moved to his present position at Yale in 1960. He is the author of numerous research articles on algebraic topology and related topics. This book developed from lecture notes of courses taught to Yale undergraduate and graduate students over a period of several years.
Synopsis
This textbook is designed to introduce advanced undergraduate or beginning graduate students to algebraic topology as painlessly as possible. The principal topics treated are 2-dimensional manifolds, the fundamental group, and covering spaces, plus the group theory needed in these topics.
Synopsis
This book is developed from lecture notes of William S. Massey's undergraduate and graduate courses at Yale over a period of several years. Professor Massey has published many research articles on algebraic topology and related topics.
Description
Includes bibliographies and index.
Includes bibliographies and index.
Table of Contents
1: Two-Dimensional Manifolds. 2: The Fundamental Group. 3: Free Groups and Free Products of Groups. 4: Seifert and Van Kampen Theorem of the Fundamental Groups of the Union of Two Spaces. 5: Covering Spaces. 6: The Fundamental Group and Covering Spaces of a Graph. 7: The Fundamental Group of Higher Dimensional Spaces. 8: Epilogue.