Comments:

251 pages, 1997

Abstract:

Introduction 1 Cited from Author's contents : " Introduction ...p.1 Chapter 1. The fundamental group and some of its applications 5 1. What is algebraic topology? 5 2. The fundamental group 6 3. Dependence on the basepoint 7 4. Homotopy invariance 7 Classification: msc:55U35, msc:55U10 5. Calculations: ƒA1(R) = 0 and A1(S1) = Z 8 6. The Brouwer fixed point theorem 10 7. The fundamental theorem of algebra. Chapter 2. Categorical language and the van Kampen theorem 13 1. Categories 13 2. Functors 13 3. Natural transformations 14 4. Homotopy categories and homotopy equivalences 14 5. The fundamental groupoid 15 6. Limits and colimits 16 7. The van Kampen theorem 17 8. Examples of the van Kampen theorem."

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http://www.math.uchicago.edu/~may/CONCISE/ConciseRevised.pdf

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