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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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. |
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