Broto, CarlesLevi, RanOliver, Bob2024-06-282024-06-282021Broto, C, Levi, R & Oliver, B 2021, 'Loop space homology of a small category', Annals of K-Theory, vol. 6, no. 3, pp. 425-480. https://doi.org/10.2140/akt.2021.6.4252379-1683ORCID: /0000-0001-5297-8295/work/159078604https://hdl.handle.net/2164/23738C. Broto acknowledges financial support from the Spanish Ministry of Economy through the “María de Maeztu” Programme for Units of Excellence in R&D (MDM-2014-0445) and FEDER-MINECO Grant MTM2016-80439-P and from the Generalitat de Catalunya through AGAUR Grant 2017SGR1725. B. Oliver is partially supported by UMR 7539 of the CNRS R. Levi and B. Oliver were partly supported by FEDER-MINECO Grant MTM2016-80439-P during several visits to the Universitat Autònoma de Barcelona. The authors also thank the University of Aberdeen for its support during visits by two of us, and the referee for carefully reading the paper and making many helpful suggestions. MSC2010: primary 55R35; secondary 20D20, 55R40. Keywords: classifying space, loop space, small category, plus construction, p-completion, finite groups, fusion.561110354engSubstantive link via an eligible employment contractClassifying spaceFinite groupsFusionLoop spaceP-completionPlus constructionSmall categoryQA MathematicsAnalysisGeometry and TopologyQAJournal article10.2140/akt.2021.6.425https://www.scopus.com/pages/publications/85126295876https://arxiv.org/abs/1807.02353v3