arXiv subjects

Jim Andrianopoulos

Publications and source records attributed to Jim Andrianopoulos.

2 recordsLinked to original sources

arXiv2016

Skew Monoidales in $Span$

This article consists of an interesting characterisation of a skew monoidale in the monoidal bicategory $Span$. After discussing the shift or decalage functor on simplicial sets we characterise these skew monoidales as categories $\mathbb C$ together with a functor $R \colon Dec(\mathbb C) \longrightarrow \mathbb C$ which satisfies two conditions and give an example where the unit of the skew monoidale is not of a restricted type.

math.CT↗

arXiv2015

Remarks on Units of Skew Monoidal Categories

This article shows that the units of a skew monoidal category are unique up to a unique isomorphism, and internalises this fact to skew monoidales. Some benefits of certain extra structure on the unit maps are also discussed before the axioms of a skew monoidal category are shown to be independent.

math.CT↗