2007/10/28 by Marek Zawadowski, Zawadowski, Marek · 1 citation
Mathematics · #18A99 #Category Theory (math.CT) #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #math.CT #msc:18A99
paper · pdf · doi:10.48550/arxiv.0710.5323
32 pages. Motivating part largely extended
openalex publication_date 2007/10/28 · arxiv created 2008/06/16 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We show that the category of principal ordered face structures is equivalent to the category of multitopes. We show that the category of principal ordered face structures is equivalent to the category of multitopes. On the way we introduce the notion of a graded tensor theory to state the abstract properties of the category of ordered face structures and show how it fits into the recent work of T. Leinster and M. Weber concerning the nerve construction.