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math.KT2017★ 2 cited
Aspects of Cubical Higher Category Theory
Camell Kachour
In this article we show how to build main aspects of our paper on globular weak -categories, but now for the cubical geometry. Thus we define a monad on the category $\…
math.KT2013
Notes on -graphs, reflexive -graphs, their higher transformations, and -operads
Camell Kachour
In this note we propose an -operadical way to prove the existence of the -graph of the -graphs and the reflexive - graph of the reflexive -graphs.
math.KT2012★ 3 cited
Algebraic Definition of weak (; n)-Categories
Camell Kachour
In this paper we define a sequence of monads on -, the category of the -graphs. We conjecture that al…