Spectra of small categories and infinite loop space machines

We show how to construct a categorical spectrum of small categories, and hence a cohomology theory, starting from a Γ-category. This extends Segal's infinite loop space machine for topological spaces to small categories. Our results form a part of Bak's program for delooping global actions...

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Autor principal: Minian, E.G.
Formato: JOUR
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Acceso en línea:http://hdl.handle.net/20.500.12110/paper_09203036_v37_n3_p249_Minian
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Sumario:We show how to construct a categorical spectrum of small categories, and hence a cohomology theory, starting from a Γ-category. This extends Segal's infinite loop space machine for topological spaces to small categories. Our results form a part of Bak's program for delooping global actions, global categories, and related objects. © Springer Science+Business Media B.V. 2006.