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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Detalles Bibliográficos
Autor principal: Minian, E.G.
Formato: JOUR
Materias:
Infinite loop spaces
Simplicial objects
Small categories
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_09203036_v37_n3_p249_Minian
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_09203036_v37_n3_p249_Minian
record_format dspace
spelling todo:paper_09203036_v37_n3_p249_Minian2023-10-03T15:44:50Z Spectra of small categories and infinite loop space machines Minian, E.G. Infinite loop spaces Simplicial objects Small categories 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. Fil:Minian, E.G. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_09203036_v37_n3_p249_Minian
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Infinite loop spaces
Simplicial objects
Small categories
spellingShingle Infinite loop spaces
Simplicial objects
Small categories
Minian, E.G.
Spectra of small categories and infinite loop space machines
topic_facet Infinite loop spaces
Simplicial objects
Small categories
description 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.
format JOUR
author Minian, E.G.
author_facet Minian, E.G.
author_sort Minian, E.G.
title Spectra of small categories and infinite loop space machines
title_short Spectra of small categories and infinite loop space machines
title_full Spectra of small categories and infinite loop space machines
title_fullStr Spectra of small categories and infinite loop space machines
title_full_unstemmed Spectra of small categories and infinite loop space machines
title_sort spectra of small categories and infinite loop space machines
url http://hdl.handle.net/20.500.12110/paper_09203036_v37_n3_p249_Minian
work_keys_str_mv AT minianeg spectraofsmallcategoriesandinfiniteloopspacemachines
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