2006/06/16 by M. Weber, Mark Weber, Weber, M.
Mathematics · #18A05 #18B25 #18D05 #Category Theory (math.CT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #math.CT #msc:18A05 #msc:18B25 #msc:18D05
paper · pdf · doi:10.48550/arxiv.math/0606393
53 pages
arxiv created 2006/06/16 · openalex publication_date 2006/06/16 · arxiv updated 2009/12/01 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28
A 2-categorical generalisation of elementary topos is provided and some of the properties of the yoneda structure it generates are explored. Examples relevant to the globular approach to higher category theory are discussed. This paper also contains some expository material on the theory of fibrations internal to a finitely complete 2-category as well as a self-contained development of the necessary background on yoneda structures.