Thomas Cottrell

collaborators

2 papers

math.CT2021

Hom weak $ω$ -categories of a weak $ω$ -category

Thomas Cottrell, Soichiro Fujii

Classical definitions of weak higher-dimensional categories are given inductively; for example, a bicategory has a set of objects and hom categories, and a tricategory has a set of…

math.CT2014

Comparing algebraic and non-algebraic foundations of $n$ -category theory

Thomas Cottrell

Many definitions of weak n-category have been proposed. It has been widely observed that each of these definitions is of one of two types: algebraic definitions, in which composite…

Hom weak ω-categories of a weak ω-category

Comparing algebraic and non-algebraic foundations of n-category theory

Hom weak $ω$ -categories of a weak $ω$ -category

Comparing algebraic and non-algebraic foundations of $n$ -category theory