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E 'Infinite' Ring Spaces and E 'Infinite' Ring Spectra (Lecture Notes in Mathematics)
E 'Infinite' Ring Spaces and E 'Infinite' Ring Spectra (Lecture Notes in Mathematics)
Date: 13 April 2011, 04:29

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In topology, there is a dichotomy between two general classes of spaces and ways of thinking about their roles. On the one hand, there are the concrete geometric spaces, most importantly the various types of manifolds. Typical problems one proposes to study about such spaces are their classification, at least up to cobordism, and the obstructions to the existence of an equivalence of a given space with a space with a richer type of structure. Bundles and fibrations over geometric spaces generally play a central role in the solution to such problems. On the other hand, there are the classifying spaces for bundle and fibration theories and other cohomological invariants of spaces.

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