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La géométrie différentielle dans la catégorie P L

Howard Osborn (1973)

Annales de l'institut Fourier

La catégorie des fibrés vectoriels sur les variétés M linéaires par morceaux se plonge dans une catégorie des classes d’équivalence [ I ] de faisceaux I de modules sur les faisceaux A ( M ) de germes des fonctions lissables, et on construit les classes p ( [ I ] ) H 4 * ( M ; R ) de Pontrjagin, vérifiant des axiomes habituels. Chaque variété M possède un objet tangent [ ξ ( M ) ] dans cette catégorie, et p ( [ ξ ( M ) ] ) est la classe totale de Pontrjagin associée à M .

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