Displaying similar documents to “The surjectivity problem for one-generator, one-relator extensions of torsion-free groups.”

All CAT(0) boundaries of a group of the form H × K are CE equivalent

Christopher Mooney (2009)

Fundamenta Mathematicae

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M. Bestvina has shown that for any given torsion-free CAT(0) group G, all of its boundaries are shape equivalent. He then posed the question of whether they satisfy the stronger condition of being cell-like equivalent. In this article we prove that the answer is "Yes" in the situation where the group in question splits as a direct product with infinite factors. We accomplish this by proving an interesting theorem in shape theory.

Higher Reidemeister torsion and parametrized Morse theory

Klein, John R.

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This paper constitutes a summary of the author’s Ph.D. thesis [The cell complex construction and higher R -torsion for bundles with framed Morse function (Brandeis Univ. 1989)]. Proofs of the results cited here will appear elsewhere.The first section is devoted to outlining a means of passing in a continuous way from the space of pairs ( M , f ) , where M is a compact smooth manifold and f is a Morse function on M , into a moduli space for finite cell complexes.In section two the results of section...