an:04022150
Zbl 0628.55002
Ayala, R.
An axiomatic exposition of cobordism theories on Euclidean polyhedra
FR
Cah. Topologie G??om. Diff??r. Cat??g. 28, No. 1, 57-75 (1987).
00226873
1987
j
55N22 55N20 57Q60 57Q50
mockbundles; cobordism category; generalized cohomology theory on Euclidean polyhedra; PL-cobordism; \(\Omega \)-spectrum
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.
John F. Oprea (Cleveland)