A Based Federer Spectral Sequence and the Rational Homotopy of Function Spaces.
Samuel B. Smith (1997)
Manuscripta mathematica
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Samuel B. Smith (1997)
Manuscripta mathematica
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In rational homotopy theory, we show how the homotopy notion of pure fibration arises in a natural way. It can be proved that some fibrations, with homogeneous spaces as fibre are pure fibrations. Consequences of these results on the operation of a Lie group and the existence of Serre fibrations are given. We also examine various measures of rational triviality for a fibration and compare them with and whithout the hypothesis of pure fibration.
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