Maps to Spaces in the Genus of Infinite Quaternionic Projective Space
نویسنده
چکیده
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.
منابع مشابه
A Remark on the Genus of the Infinite Quaternionic Projective Space
It is shown that all but at most countably many spaces in the genus of HP∞, the infinite quaternionic projective space, do not admit any essential maps from CP∞, the infinite complex projective space. This strengthens a theorem of McGibbon and Rector which states that among the uncountably many homotopy types in its genus, HP∞ is the only one which admits a maximal torus.
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تاریخ انتشار 2002