To the Teacher. This book is designed to introduce a student to some of the important ideas of algebraic topology by emphasizing the re lations of these ideas with other areas of mathematics.
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.
The purpose of this book is to help the aspiring reader acquire this essential common sense about algebraic topology in a short period of time. To this end, Sato leads the reader through simple but meaningful examples in concrete terms.
An introductory textbook suitable for use in a course or for self-study, featuring broad coverage of the subject and a readable exposition, with many examples and exercises.
Algebraic Topology: An Introduction
Because a number of the sources are rather inaccessible to students, the second part of the book comprises a collection of some of these classic expositions, from journals, lecture notes, theses and conference proceedings.
Surveys several algebraic invariants, including the fundamental group, singular and Cech homology groups, and a variety of cohomology groups.
... Editor Classical real analysis, Daniel Waterman, Editor Group actions on rings, Susan Montgomery, Editor Combinatorial methods in topology and algebraic geometry, John R. Harper and Richard Mandelbaum, Editors Finite groups—coming ...
Great first book on algebraic topology. Introduces (co)homology through singular theory.
Algebraic Topology: Proceedings, University of British Columbia, Vancouver, August, 1977
... topology. Now, let us ask whether or not the 2-sphere So is homeomorphic to the 2-torus T = S' × S' (Fig. 2.1). This can also be resolved using point-set topology as follows: Take a circle C in T as shown in Fig 2.1. If we remove C from ...
... topology now enters into the picture since this resolution has a geometric description. Specifically, if W is the iterated join TxTo . . . . T (n copies) then W is an n-1 dimensional, n-2 connected simplicial complex with a simplicial ...
This book consists of twenty-nine articles contributed by participants of the International Conference in Algebraic Topology held in July 1991 in Mexico.
This book surveys the fundamental ideas of algebraic topology.
This book is written as a textbook on algebraic topology.
To the Teacher. This book is designed to introduce a student to some of the important ideas of algebraic topology by emphasizing the re lations of these ideas with other areas of mathematics.
The book begins with the preliminaries needed for the formal definition of a surface. Other topics covered in the book include the classification of surfaces, group theory, the fundamental group, and homology.