Generalisations and applications of block bundles
نویسنده
چکیده
We wish to obtain information about BP̃LF ; in fact we can study BGF (which is purely homotopy theoretic) and the fibre GF /P̃LF of χ. In Chapter III we construct a map θ : GF /P̃LF−−→(G/PL) , where G/PL is the space studied in Sullivan’s thesis under the name F/PL, and (G/PL) is the space of all unbased maps from F to G/PL. Theorems 5,6 show that, under suitable conditions, θ is almost a homotopy equivalence. For these results it is essential to work with block bundles rather than fibre bundles.
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