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Foundations of Algebraic Topology


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Table of Contents

*Frontmatter, pg. i*Preface, pg. vii*Contents, pg. xv*I. Axioms and general theorems, pg. 1*II. Simplicial complexes, pg. 54*III. Homology theory of simplicial complexes, pg. 76*IV. Categories and functors, pg. 108*V. Chain complexes, pg. 124*VI. Formal homology theory of simplicial complexes, pg. 162*VII. The singular homology theory, pg. 185*VIII. Systems of groups and their limits, pg. 212*IX. The Cech homology theory, pg. 233*X. Special features of the Cech theory, pg. 257*XI. Applications to Euclidean Spaces, pg. 298*Index, pg. 323

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