Download e-book for kindle: Algebraic Topology: An Introduction by William S. Massey

By William S. Massey

ISBN-10: 0387902716

ISBN-13: 9780387902715


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

Show description

Read or Download Algebraic Topology: An Introduction PDF

Best topology books

Download PDF by William G. Chinn, N. E. Steenrod, George H. Buehler: First Concepts of Topology

While studying this publication, I stored on brooding about how good it is going to function the textbook for a semester-long highschool intro to topology type! The authors positioned nice attempt in making this booklet rigorous and wealthy in fabric but while very available (at least the 1st half) to the typical highschool junior or senior who's attracted to better math.

Knots and Surfaces - download pdf or read online

This hugely readable textual content information the interplay among the mathematical conception of knots and the theories of surfaces and staff displays. It expertly introduces numerous themes severe to the advance of natural arithmetic whereas offering an account of math "in action" in an strange context.

Extra info for Algebraic Topology: An Introduction

Example text

We assert that we can number the triangles T1, T2, . -_1, 2 g 2' g 11.. 1 / l9 angles T1; for T2 choose any triangle that has an edge in common with T1, for T3 choose any triangle that has an edge in common with T1 or T2, etc. If at any stage we could not continue this process, then we would have two sets of triangles {T1, . , Th}, and {Tk+1, . , Tn} such that no triangle in the first set would have an edge or vertex in common with any triangle of the second set. But this would give a partition of S into two disjoint nonempty closed sets, contrary to the assumption that S was connected.

It is a hexagon) and such that distinct regions have no more than one side in common. 6 Let SI be a surface that is the sum of m tori, m g 1, and let S, be a surface that is the sum of n projective planes, n _2_ 1. Suppose two holes are cut in each of these surfaces, and the two surfaces are then glued together along the boundaries of the holes. What surface is obtained by this process? 7 What surface is represented by a regular 10-gon with edges identified in pairs, as indicated by the symbol abcdec‘lda‘lb‘le‘l?

T; are pairwise disjoint; if they are not, we can translate some of them to various other parts of the plane R2. Let T’ = UTQ; then T’ is a compact subset of R2. Define a map go : T’ ——> S by go I T; = goi; the map go is obviously continuous and onto. Because T’ is compact and S is a Hausdorff space, go is a closed map, and hence S has the quotient topology determined by go (see Section 1 of Appendix A). This is a rigorous mathematical statement of our intuitive idea that S is obtained by gluing the triangles T1, T2, .

Download PDF sample

Algebraic Topology: An Introduction by William S. Massey

by James

Rated 4.81 of 5 – based on 13 votes