128 research outputs found

    Computation and Homotopical Applications of Induced Crossed Modules

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    We explain how the computation of induced crossed modules allows the computation of certain homotopy 2-types and, in particular, second homotopy groups. We discuss various issues involved in computing induced crossed modules and give some examples and applications.Comment: 15 pages, xypic, latex2

    Spectral morphisms, K-theory, and stable ranks

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    We give a brief account of the interplay between spectral morphisms, K-theory, and stable ranks in the context of Banach algebras.Comment: 12 pages; to appear in the Proceedings of the Workshop on Noncommutative Geometry (Fields Institute, Toronto 2008
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