2015/07/23 by Alex Gonzalez, Alex González, Gonzalez, Alex +4
Mathematics · Medicine · #Algebraic structures and combinatorial models #Category Theory (math.CT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Intracranial Aneurysms: Treatment and Complications #math.CT
paper · pdf · doi:10.48550/arxiv.1507.06623
Report of research results from a 2015 NSF REU group at Kansas State University, NSF grant DMS-1262877
arxiv created 2015/07/23 · openalex publication_date 2015/07/23 · arxiv updated 2015/07/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The Euler characteristic was defined for finite strict n-categories by Leinster using the theory of enriched categories. This was an extension of some of his earlier work, which defined Euler characteristic for finite categories. Building on Leinster's work, we extend the notion of Euler characteristic to certain finite weak 2-categories and present a sketch of a similar extension to weak n-categories. We also discuss the extension of the Euler characteristic to certain finite (∞,1)-categories.