# Browse by Subject "Mathematics"

• (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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• (1970)

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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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• (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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• (1972)

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• (1974)

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• (1972)

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• (1976)

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