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The Difference Construction

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The Geometric Hopf Invariant and Surgery Theory

Part of the book series: Springer Monographs in Mathematics ((SMM))

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Abstract

The sum and difference maps for a circle. The definitions of joins, cones and suspensions. The difference construction \(\delta (f, g)\) for two null-homotopies fg of a map. The chain complex version: the chain homotopy difference construction for chain maps.

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Correspondence to Michael Crabb .

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Crabb, M., Ranicki, A. (2017). The Difference Construction. In: The Geometric Hopf Invariant and Surgery Theory. Springer Monographs in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-319-71306-9_1

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