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Continuous Cohomology of Spaces with Two Topologies
 
Front Cover for Continuous Cohomology of Spaces with Two Topologies
Available Formats:
Electronic ISBN: 978-1-4704-0790-2
Product Code: MEMO/7/175.E
List Price: $27.00
MAA Member Price: $24.30
AMS Member Price: $16.20
Front Cover for Continuous Cohomology of Spaces with Two Topologies
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Continuous Cohomology of Spaces with Two Topologies
Available Formats:
Electronic ISBN:  978-1-4704-0790-2
Product Code:  MEMO/7/175.E
List Price: $27.00
MAA Member Price: $24.30
AMS Member Price: $16.20
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 71976; 142 pp
    MSC: Primary 55; Secondary 57;
  • Table of Contents
     
     
    • Chapters
    • 1. Spaces with two topologies
    • 2. Axioms for a continuous cohomology theory
    • 3. Existence of continuous cohomology theories
    • 4. Smooth cohomology theories
    • 5. Borel cohomology theories
    • 6. Uniqueness of continuous, smooth, Borel, and discrete cohomology theories on foliated manifolds
    • 7. Simplicial spaces; uniqueness on $B(G_D)$
    • 8. Examples of non-uniqueness
    • 9. Computation of continuous, smooth, and Borel cohomology (examples)
    • Appendix A. Simplicial objects
    • Appendix B. Paracompactness
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Volume: 71976; 142 pp
MSC: Primary 55; Secondary 57;
  • Chapters
  • 1. Spaces with two topologies
  • 2. Axioms for a continuous cohomology theory
  • 3. Existence of continuous cohomology theories
  • 4. Smooth cohomology theories
  • 5. Borel cohomology theories
  • 6. Uniqueness of continuous, smooth, Borel, and discrete cohomology theories on foliated manifolds
  • 7. Simplicial spaces; uniqueness on $B(G_D)$
  • 8. Examples of non-uniqueness
  • 9. Computation of continuous, smooth, and Borel cohomology (examples)
  • Appendix A. Simplicial objects
  • Appendix B. Paracompactness
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