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Browsing Department of Mathematics by Subject "Homology theory"

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Browsing Department of Mathematics by Subject "Homology theory"

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  • Ultman, Shari K. (2009-04-01)
    A striking feature in the study of Riemannian manifolds of positive sectional curvature is the narrowness of the collection of known examples. In this thesis, we examine the structure of the cohomology rings of three f ...
  • Johnson, Robert C. (Robert Carl) (1968-08-06)
    See pdf
  • Lekhyananda, Suravate (1988-06-27)
    This paper has two objectives. Firstly, we present the homological properties as defined by de Rham using a notion of current. We show this with the aid of the Eilenberg and Steenrod Axioms. The cohomology is defined ...
  • Elwin, John David (1969-08-01)
    See pdf
  • Sekino, Junpei (1974-12-12)
    In this dissertation we construct a homology theory on the category of submersions which generalizes the homology of the base space with coefficients in the homology of the fiber as given by the E²-terms of the Serre spe ...
  • Endicott, Patrick C. (1977-07-15)
    In this dissertation we construct a homology spectral sequence attached to a submersion whose E² term takes values in a certain homology with local coefficients. The motivation for this work is that the spectral seque ...

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