Browse Dissertations and Theses - Mathematics by Title

• (1991)
The Hanna Neumann Conjecture states that if two subgroups of a finitely generated free group have finite ranks m and n, then their intersection has rank N which satisfies $N$ $-$ 1 $\leq$ ($m$ $-$ 1)($n$ $-$ 1). The current ...

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• (1969)

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• (1967)

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• (1995)
We construct examples illustrating various aspects of Hodge theory on Riemannian manifolds. We consider the relationship between the harmonic forms on a product space and the harmonic forms on the factors as well as the ...

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• (1958)

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• (1974)

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• (1974)

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• (1973)

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• (1981)
This thesis is concerned with the properties of recursivelyenumerable sets--that is, sets which can be listed by Turingmachines--and their Turing degrees. We shall use the abbreviationr.e. to stand for the phrase recursively ...

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• (2011-01-21)
This thesis is devoted to the study of the Hilbert transform and its applications in computational finance. We will show in this thesis that under some mild conditions, the Hilbert transform can be approximated by the ...

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• (2012-05-22)
Holomorphic chains on a smooth algebraic curve are tuples of vector bundles on the curve together with the homomorphisms between them. A type of a holomorphic chain is a tuple t of integers consisting of the ranks and ...

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• (1995)
In this paper, we present two new spines for ribbon disc complements. We describe Craggs's 3-dimensional spine and introduce a 2-dimensional spine ${\cal W}\sp2$ which we show satisfies the homotopy reciprocity law. We ...

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• (1970)

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• (1951)

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• (1966)

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• (2013-08-22)
For a single cusped hyperbolic 3-manifold, Hodgson proved that there are only finitely many Dehn fillings of it whose trace fields have bounded degree. In this paper, we conjecture the same for manifolds with more cusps, ...

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• (1964)

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• (1989)
A famous theorem of P. Hall gives a necessary and sufficient condition for a bipartite graph $\Gamma$ to possess a matching f. (A bipartite graph $\Gamma$ is a subset of the cartesian product of two finite sets X and Y. A ...

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• (2015-01-21)
Some of the most interesting of Ramanujan's continued fraction identities are those involving ratios of Gamma functions in Chapter 12 of his second notebook. This thesis develops a method for deriving such identities, ...

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• (1972)

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