On the Complex Bordism and Cobordism of Infinite Complexes
نویسندگان
چکیده
MU*(S°) (2) Tor*,* \MU*(X)9Z)=*H*(X;Z) by P. E. Conner and L. Smith [9]. Recently N. A. Baas [4] has written an excellent account of the Adams spectral sequence (1), and J. F. Adams has made a thorough analysis of universal coefficient theorems such as (2) in Lecture 1 of [ l ] . In §1 we announce several solutions to the problem—when is MU*(X) isomorphic to the inverse limit of the complex cobordism of the skeleta (assumed finite) of X? In the remaining sections we illustrate several universal coefficient theorems, among them (2), by announcing the results of several computations for EilenbergMacLane spectra K(ir) and the spectrum bu which represents connective JC-theory. Full details will appear elsewhere.
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