Construction of functors connecting homology and homotopy theories

Dragotti, S.; Esposito, R.; Magro, G.

doi:10.1090/S0002-9939-1994-1165052-X

Construction of functors connecting homology and homotopy theories
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by S. Dragotti, R. Esposito and G. Magro PDF

Proc. Amer. Math. Soc. 120 (1994), 635-646 Request permission

Abstract:

For each manifold class $\mathcal {F}$ it is given a functor ${\Theta ^\mathcal {F}}$ satisfying the Eilenberg and Steenrod axioms except the excision axiom. It provides a nice unification of geometric treatments of homology and homotopy theories.

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