AUGMENTED VIRTUAL DOUBLE CATEGORIES
THEORY AND APPLICATIONS OF CATEGORIES, vol.35, pp.261-325, 2020 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 35
- Publication Date: 2020
- Journal Name: THEORY AND APPLICATIONS OF CATEGORIES
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH
- Page Numbers: pp.261-325
- Keywords: augmented virtual double category, multicategory, yoneda structure, YONEDA STRUCTURES, KAN EXTENSIONS, BICATEGORIES, PART
- Middle East Technical University Northern Cyprus Campus Affiliated: No
Abstract
In this article the notion of virtual double category (also known as fc-multicategory) is extended as follows. While cells in a virtual double category classically have a horizontal multi-source and single horizontal target, the notion of augmented virtual double category introduced here extends the latter notion by including cells with empty horizontal target as well.