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We show that the category of numerically generated pointed spaces is complete, cocomplete, and monoidally closed with respect to the smash product, and then utilize these features to establish a simple but flexible method for constructing generalized homology and cohomology theories by using the notion of enriched bifunctors.
Quasifaserungen und unendliche symmetrische produkte
A. Dold and R. Thom · 1958
Earlier work this paper cites.
Equivariant Stable Homotopy Theory
G. Lewis, J. P. May, and M. Steinberger · 1986
Earlier work this paper cites.
Calculus i: The first derivative of pseudoisotopy theory
T. Goodwillie · 1990
Cited alongside, same era.
Diffeology
P. Iglesias-Zemmour
Cited in the paper.
A continuous bifunctor representing Čech cohomology
K. Yoshida
Cited in the paper.
Configuration spaces with partially summable labels and homology theories
K. Shimakawa · 2001
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