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An axiomatic exposition of cobordism theories on Euclidean polyhedra. (Une présentation axiomatique des théories de cobordisme sur les polyèdres euclidiens.) (French) Zbl 0628.55002
The essential ingredients of a cobordism theory are codified in a categorical framework. In particular, the notion of a cobordism category is developed and applied to obtain, for each such category, a generalized cohomology theory on Euclidean polyhedra. Furthermore, analogous to the situation for PL-cobordism, a description is given of the \(\Omega\)- spectrum associated to any such generalized cohomology theory.
MSC:
55N22 Bordism and cobordism theories and formal group laws in algebraic topology
55N20 Generalized (extraordinary) homology and cohomology theories in algebraic topology
57Q60 Cobordism and concordance in PL-topology
57Q50 Microbundles and block bundles
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