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Seifert and Threlfall: A Textbook of Topology and Seifert: Topology of 3-Dimensional Fibered Spaces Copyright Page CONTENTS Preface to English Edition Acknowledgments Preface to German Edition PART I: SEIFERT AND THRELFALL: A TEXTBOOK OF TOPOLOGY CHAPTER ONE. ILLUSTRATIVE MATERIAL 1. The Principal Problem of Topology 2. Closed Surfaces 3. Isotopy, Homotopy, Homology 4. Higher Dimensional Manifolds CHAPTER TWO. SIMPLICIAL COMPLEXES 5. Neighborhood Spaces 6. Mappings 7. Point Sets in Euclidean Spaces 8. Identification Spaces 9. n-Simplexes 10. Simplicial Complexes 11. The Schema of a Simplicial Complex 12. Finite, Pure, Homogeneous Complexes 13. Normal Subdivision 14. Examples of Complexes CHAPTER THREE. HOMOLOGY GROUPS 15. Chains 16. Boundary, Closed Chains 17. Homologous Chains 18. Homology Groups 19. Computation of the Homology Groups in Simple Cases 20. Homologies with Division 21. Computation of Homology Groups from the Incidence Matrices 22. Block Chains 23. Chains mod 2, Connectivity Numbers, Euler’s Formula 24. Pseudomanifolds and Orientability CHAPTER FOUR. SIMPLICIAL APPROXIMATIONS 25. Singular Simplexes 26. Singular Chains 27. Singular Homology Groups 28. The Approximation

Who reads Seifert and Threlfall, A textbook of topology?

Author

H. Seifert, W. Threlfall, Joan S. Birman (editor), Julian Eisner (editor)

Publisher

Academic Press, Incorporated

Published

1980

Language

EN

ISBN

9780126348507

Category

nonfiction

Subjects

Mathematics, Stem