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Categorical Decomposition Techniques in Algebraic Topology - International Conference in Algebraic Topology, Isle of Skye, Scotland, June 2001 (Hardcover, 2004 ed.)
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Categorical Decomposition Techniques in Algebraic Topology - International Conference in Algebraic Topology, Isle of Skye, Scotland, June 2001 (Hardcover, 2004 ed.)
Series: Progress in Mathematics, 215
Expected to ship within 10 - 15 working days
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The current volume constitutes the proceedings of the International
Conference in Algebraic Topology, held on the Isle of Skye,
Scotland in June 200l. Many of the the talks at the conference
focused on categorical decomposition techniques currently used in
algebraic topology, such as Goodwillie's "calculus of functors" and
the various approximation techniques that have proved so useful for
the study of classifying spaces. The contents represent these, and
other themes in algebraic toplogy, as they are being developed by
experts in the field. For instance, the homotopy theory of
classifying spaces is represented by the articles of
Aguade-Broto-Saumell, Davis and Iwase-Mimura. The papers by Betley,
Kuhn and Panov-Ray-Vogt deal with general categorical decomposition
techniques. The papers of Anton, Goerss-Henn Mahowald and
Hodgkin-Ostvaer bring us to the forefront of computational homo
topy theory. Other papers deal with assorted topics of current
interest in algebraic topology. Progress in Mathematics, Vol. 215
Algebraic Topology: Categorical Decomposition Techniques, 1-20 (c)
2003 Birkhiiuser Verlag Basel/Switzerland The Functor T and the
Cohomology of Mapping Spaces Jaume Aguade, Carles Broto, and Laia
Saumell 1. Introduction In his fundamental work 15] Lannes has
introduced a functor T defined in the category K (resp. U) of
unstable algebras (resp. modules) over the Steenrod algebra which
has many important applications in homotopy theory. This functor
is, in some sense, the algebraic analogue of the mapping space
functor Map(BV, -) for an elementary abelian group V."
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