Cell-like resolutions preserving cohomological dimensions.
Levin, Michael (2003)
Algebraic & Geometric Topology
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Displaying similar documents to “The surjectivity problem for one-generator, one-relator extensions of torsion-free groups.”
Cell-like resolutions preserving cohomological dimensions.
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.
Circle-valued Morse theory and Reidemeister torsion.
Hutchings, Michael, Lee, Yi-Jen (1999)
Geometry & Topology
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Isomorphism of noncommutative group algebras of torsion-free groups over a field.
Danchev, P.V. (2005)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Discrete Morse theory and graph braid groups.
Farley, Daniel, Sabalka, Lucas (2005)
Algebraic & Geometric Topology
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Homology and derived series of groups.
Cochran, Tim, Harvey, Shelly (2005)
Geometry & Topology
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An elementary proof that finite groups are projectively torsion-free
Almeida, Jorge (1990)
Portugaliae mathematica
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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 -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 , where is a compact smooth manifold and is a Morse function on , into a moduli space for finite cell complexes.In section two the results of section...
The structure of abelian groups supporting a number system (extended abstract)
Christiaan van de Woestijne (2009)
Actes des rencontres du CIRM
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