22 citations · 60 across the 9 of their papers we have counts for
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Sweedler theory for double categories
Vasileios Aravantinos-Sotiropoulos, Christina Vasilakopoulou
In this work, we establish certain enrichments of dual algebraic structures in the setting of monoidal double categories. In more detail, we obtain a tensored and cotensored enrich…
Duoidal categories, measuring comonoids and enrichment
Ignacio López Franco, Christina Vasilakopoulou
We extend the theory of Sweeder's measuring comonoids to the framework of duoidal categories: categories equipped with two compatible monoidal structures. We use one of the tensor…
Monoidal Grothendieck construction
Joe Moeller, Christina Vasilakopoulou
We lift the standard equivalence between fibrations and indexed categories to an equivalence between monoidal fibrations and monoidal indexed categories, namely weak monoidal pseud…
On Enriched Fibrations
Christina Vasilakopoulou
We introduce the notion of an enriched fibration, i.e. a fibration whose total category and base category are enriched in those of a monoidal fibration in an appropriate way. Furth…
Enriched Duality in Double Categories: V-categories and V-cocategories
Christina Vasilakopoulou
In this work, we explore a double categorical framework for categories of enriched graphs, categories and the newly introduced notion of cocategories. A fundamental goal is to esta…
Measuring Comodules and Enrichment
Martin Hyland, Ignacio Lopez Franco, Christina Vasilakopoulou
This paper extends the theory of universal measuring comonoids to modules and comodules in braided monoidal categories. We generalise the universal measuring comodule Q(M,N), origi…
Hopf measuring comonoids and enrichment
Martin Hyland, Ignacio Lopez Franco, Christina Vasilakopoulou
We study the existence of universal measuring comonoids for a pair of monoids , in a braided monoidal closed category, and the associated enrichment of a category o…
Generalization of Algebraic Operations via Enrichment
Christina Vasilakopoulou
In this dissertation we examine enrichment relations between categories of dual structure and we sketch an abstract framework where the theory of fibrations and enriched category t…
Enrichment of Categories of Algebras and Modules
Christina Vasilakopoulou
We study the universal measuring coalgebras P(A,B) of Sweedler and the universal measuring comodules Q(M,N) of Batchelor. We show that these universal objects exist in a very gener…