Spectra of Small Categories and Infinite Loop Space Machines |
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| Authors: | Elias Gabriel Minian |
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| Institution: | (1) Departamento de Matemática, FCEyN, Universidad de Buenos Aires, Buenos Aires, Argentina |
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| Abstract: | 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. |
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| Keywords: | Small categories Simplicial objects Infinite loop spaces |
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