Maps to spaces in the genus of infinite quaternionic projective space

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Spaces in the genus of infinite quaternionic projective space which admit essential maps from infinite complex projective space are classified. In these cases the sets of homotopy classes of maps are described explicitly. These results strengthen the classical theorem of McGibbon and Rector on maximal torus admissibility for spaces in the genus of infinite quaternionic projective space. An interpretation of these results in the context of Adams-Wilkerson embedding in integral $K$-theory is also given.
To appear in Progress in Math. (International Conference on Algebraic Topology, Skye - Scotland, July 2001)

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Algebraic Topology, 55S37; 55S25

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http://salesiana.dossiersoluciones.com/handle/123456789/64840

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0209030
 http://arxiv.org/abs/math/0209030
 Categorical decomposition techniques in algebraic topology (Isle of Skye, 2001), 293-302, Progr. Math. 215, Birkhauser, Basel, 2004.

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arXiv