Classifying Spaces for Monoidal Categories Through Geometric Nerves

DOI10.4153/CMB-2004-031-8zbMath1063.18003MaRDI QIDQ4824410

Manuel Bullejos, Antonio Martínez Cegarra

Publication date: 1 November 2004

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

zbMATH Keywords

classifying spacemonoidal categorysimplicial setpseudo-simplicial category

Mathematics Subject Classification ID

Classification of homotopy type (55P15) Loop spaces (55P35) Topological categories, foundations of homotopy theory (55U40)

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Singular extensions and the second cohomology categorical group, Homotopy classification of graded Picard categories, Nerves and classifying spaces for bicategories, Classifying spaces for braided monoidal categories and lax diagrams of bicategories, Bicategorical homotopy fiber sequences, Comparing geometric realizations of tricategories, The relationship between the diagonal and the bar constructions on a bisimplicial set