The Blakers-Massey theorem and the Massey product were both named for him. This textbook is intended for a course in algebraic topology at the beginning graduate level. A Basic Course in Algebraic Topology.


His textbooks Singular Homology Theory and Algebraic Topology: An Introduction are also in the Graduate Texts in Mathematics series.

The main topics covered are: the classification of compact 2-manifolds, the fundamental group, … Graduate texts in mathematicsduplicates = multiple ... 40 . Download Book A Basic Course In Algebraic Topology in PDF format. This textbook is intended for a course in algebraic topology at the beginning graduate … W.S. This book provides a detailed treatment of algebraic topology both for teachers of the subject and for advanced graduate students in mathematics either … The main topics covered are the classification of compact 2-manifolds, the … [William S Massey] ... Definitions and Basic Properties of Homology Theory .- 8: Determination of the Homology Groups of Certain Spaces: Applications and Further … Download This introduction to some basic ideas in algebraic topology is devoted to the foundations and applications of homology theory. Algebraic topology is a basic part of modern mathematics, and some knowledge of this area is indispensable for any advanced work relating to geometry, including topology itself, differential geometry, algebraic geometry, and Lie groups. [Mas] W. Massey, Algebraic topology: An introduction, Graduate Texts in Mathematics 56 (1981). It is a fairly direct consequence of the Blakers–Massey excision theorem for which we present the elementary proof of Dieter Puppe. We prove this theorem by elementary methods from homotopy theory.
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. ... 4 Free Products of Groups. The main topics covered are the classification of compact 2-manifolds, the fundamental group, covering spaces, singular homology theory, and singular cohomology theory.

You can Read Online A Basic Course In Algebraic Topology here in PDF, EPUB, Mobi or Docx formats. Relative homotopy groups 61 9. A downloadable textbook in algebraic topology. Prerequisites are standard point set topology (as recalled in the first chapter), elementary algebraic notions (modules, tensor product), and some terminology from category theory. This textbook is intended for a course in algebraic topology at the beginning graduate level. The main topics covered are the classification of compact 2-manifolds, the fundamental group, covering spaces, singular homology theory, and singular cohomology theory.

Author: William S. Massey… First steps toward fiber bundles 65 9.2. Hub. Title : A …