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Homotopy theoretic consequences of N. Levitt’s obstruction theory to transversality for spherical fibrations

Homotopy theoretic consequences of N. Levitt’s obstruction theory to transversality for spherical fibrations

The main goal of this paper is a detailed analysis of the problem of imposing a topological bundle structure on a spherical fibre space over a simply connected base.The method involves a careful study of the notion of fibre homotopy transversality due to N. Levitt.The point is, a topological disc …