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Homotopy theory of function spaces and related topics; proceedings.


Homotopy theory of function spaces and related topics; proceedings.

Oberwolfach Workshop (2009: Oberwolfach, Germany). Ed. by Yves Felix et al.

American Mathematical Society


230 pages



Contemporary mathematics; 519


The 15 papers provide a snapshot of the high interest homotopy theorists have demonstrated in function spaces over the past six decades, surveying activities and results in a number of fields. Among the topics are upper bounds for the Whitehead-length of mapping spaces, the rational homotopy of symmetric products and spaces of finite subsets, the triviality of adjount bundles, spaces of algebraic maps from real projective spaces into complex projective spaces, the rational cohomology of the total space of the universal fibration with an elliptic fibre, and the localization of group-like function and section spaces with compact domain. A final chapter lists unresolved but tantalizing problems on mapping spaces and related subjects. There is no index.

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Publication:SciTech Book News
Article Type:Book review
Date:Dec 1, 2010
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