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  • 1
    Online Resource
    Online Resource
    Seifert and Threlfall, a textbook of topology / (1980)
    New York :Academic Press,
    Details
    UID:
    almahu_9947367144902882
    Format: 1 online resource (461 p.)
    ISBN: 1-281-76755-7 , 9786611767556 , 0-08-087405-3
    Series Statement: Pure and applied mathematics, a series of monographs and textbooks ; 89
    Uniform Title: Lehrbuch der Topologie.
    Content: Seifert and Threlfall, A textbook of topology
    Note: Translation of Lehrbuch der Topologie, and of an article from Acta mathematica, v. 60, p. 147-288, with the title "Topologie dreidimensionaler gefaserler Raume." , Front Cover; 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 Complex12. 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 Groups28. The Approximation Theorem, Invariance of Simplicial Homology Groups; 29. Prisms in Euclidean Spaces; 30. Proof of the Approximation Theorem; 3I. Deformation and Simplicial Approximation of Mappings; CHAPTER FIVE. LOCAL PROPERTIES; 32. Homology Groups of a Complex at a Point; 33. Invariance of Dimension; 34. Invariance of the Purity of a Complex; 35. Invariance of Boundary; 36. Invariance of Pseudomanifolds and of Orientability; CHAPTER SIX. SURFACE TOPOLOGY; 37. Closed Surfaces; 38. Transformation to Normal Form; 39. Types of Normal Form: The Principal Theorem , 40. Surfaces with Boundary41. Homology Groups of Surfaces; CHAPTER SEVEN. THE FUNDAMENTAL GROUP; 42. The Fundamental Group; 43. Examples; 44. The Edge Path Group of a Simplicial Complex; 45. The Edge Path Group of a Surface Complex; 46. Generators and Relations; 47. Edge Complexes and Closed Surfaces; 48. The Fundamental and Homology Groups; 49. Free Deformation of Closed Paths; 50. Fundamental Group and Deformation of Mappings; 51. The Fundamental Group at a Point; 52. The Fundamental Group of a Composite Complex; CHAPTER EIGHT. COVERING COMPLEXES; 53. Unbranched Covering Complexes , 54. Base Path and Covering Path55. Coverings and Subgroups of the Fundamental Group; 56. Universal Coverings; 57. Regular Coverings; 58. The Monodromy Group; CHAPTER NINE. 3-DIMENSIONAL MANIFOLDS; 59. General Principles; 60. Representation by a Polyhedron; 61. Homology Groups; 62. The Fundamental Group; 63. The Heegaard Diagram; 64. 3-Dimensional Manifolds with Boundary; 65. Construction of 3-Dimensional Manifolds out of Knots; CHAPTER TEN. n-DIMENSIONAL MANIFOLDS; 66. Star Complexes; 67. Cell Complexes; 68. Manifolds; 69. The Poincaré Duality Theorem; 70. Intersection Numbers of Cell Chains , 71. Dual Bases , English
    Additional Edition: ISBN 0-12-634850-2
    Language: English
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    Online Resource
    HU Berlin
    FU Berlin
    Charité
  • 2
    Online Resource
    Online Resource
    Seifert and Threlfall, A textbook of topology (1980)
    New York [u.a.] : Academic Press
    Details
    UID:
    gbv_1684908477
    Format: Online-Ressource
    Edition: Elsevier e-book collection on ScienceDirect
    ISBN: 0126348502 , 9780126348507 , 9780080874050 , 0080874053
    Series Statement: Pure and applied mathematics, a series of monographs and textbooks 89
    Uniform Title: Lehrbuch der Topologie. 〈engl.〉
    Content: Seifert and Threlfall : A textbook of topology. Illustrative material ; Simplicial complexes ; Homology groups ; Simplicial approximations ; Local properties ; Surface topology ; The fundamental group ; Covering complexes ; 3-dimensional manifolds ; n[italicized]-dimensional manifolds ; Continuous mappings ; Auxiliary theorems from the theory of groups -- Seifert : Topology of 3-dimensional fibered spaces.
    Note: Die Vorlage enthält außerdem: Topology of 3-dimensional fibered spaces , Includes index , Translation of Lehrbuch der Topologie, and of an article from Acta mathematica, v. 60, p. 147-288, with the title "Topologie dreidimensionaler gefaserler Räume , English
    Additional Edition: ISBN 0126348502
    Additional Edition: Erscheint auch als Druck-Ausgabe Seifert, Herbert, 1907 - 1996 A textbook of topology New York [u.a.] : Academic Press, 1980 ISBN 0126348502
    Language: English
    Keywords: Algebraische Topologie ; Electronic books ; Electronic books
    URL: Volltext  (Deutschlandweit zugänglich)
    URL: lizenzpflichtig
    URL: Volltext
    Author information: Seifert, Herbert 1907-1996
    Author information: Threlfall, William 1888-1949
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    Online Resource
    Online Access
    Stabi Berlin
    UB Potsdam
  • 3
    Book
    Book
    A textbook of topology (1980)
    New York [u.a.] : Academic Press
    Show associated volumes
    Details
    UID:
    gbv_028369580
    Format: XVI, 437 S , graph. Darst
    ISBN: 0126348502
    Series Statement: Pure and applied mathematics 89
    Uniform Title: Lehrbuch der Topologie 〈engl.〉
    Note: Die Vorlage enth. insgesamt 2 Werke
    Additional Edition: Erscheint auch als Online-Ausgabe Seifert, Herbert, 1907 - 1996 Seifert and Threlfall, A textbook of topology New York [u.a.] : Academic Press, 1980 ISBN 0126348502
    Additional Edition: ISBN 9780126348507
    Additional Edition: ISBN 9780080874050
    Additional Edition: ISBN 0080874053
    Language: English
    Keywords: Algebraische Topologie
    Author information: Seifert, Herbert 1907-1996
    Author information: Threlfall, William 1888-1949
    Library Location Call Number Volume/Issue/Year Availability
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    Book
    Stabi Berlin get availability status
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