(Braided) tensor structures on homotopy groupoids and nerves of (Braided) categorical groups1

DOI10.1080/00927879608825799zbMath0887.18004OpenAlexW2057074495MaRDI QIDQ4369993

Pilar Carrasco, Antonio Martínez Cegarra

Publication date: 28 April 1998

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927879608825799

zbMATH Keywords

homotopy typeEilenberg-MacLane spaceKan simplicial setPostnikov invariantbraided categorical groupscategorical braided group

Mathematics Subject Classification ID

Classification of homotopy type (55P15) Groupoids, semigroupoids, semigroups, groups (viewed as categories) (18B40)

Related Items

Singular extensions and the second cohomology categorical group, Homotopy classification of graded Picard categories, \(S\)-types of global towers of spaces and exterior spaces, Nerves and classifying spaces for bicategories, The homotopy categorical crossed module of a CW-complex, TFT construction of RCFT correlators. III: Simple currents, Classifying spaces for braided monoidal categories and lax diagrams of bicategories, The classifying space of a categorical crossed module, On algebraic K-theory categorical groups, Chain complexes of symmetric categorical groups, Categorical \(G\)-crossed modules and 2-fold extensions, Comparing geometric realizations of tricategories, Nerves of trigroupoids as Duskin-Glenn's 3-hypergroupoids, On ℋ¹ of Categorical Groups, Schreier theory for singular extensions of categorical groups and homotopy classification^∗∗, A Picard-Brauer exact sequence of categorical groups

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