Camell Kachour

activity

20112013

most citedAlgebraic Definition of weak (

\infty

; n)-Categories

3 citations · 3 across the 4 of their papers we have counts for

collaborators

4 papers

math.KT2013

Notes on $ω$ -graphs, reflexive $ω$ -graphs, their higher transformations, and $ω$ -operads

Camell Kachour

In this note we propose an $ω$ -operadical way to prove the existence of the $ω$ -graph of the $ω$ -graphs and the reflexive $ω$ - graph of the reflexive $ω$ -graphs.

math.CT2012

Corrections to the article: Operadic definition of the non-strict cells

Camell Kachour

In this short notes we propose a new notion of contractibility for coloured $ω$ -operad defined in the article published in Cahiers de Topologie et de G{é}om{é}trie Diff{é}rentielle…

math.KT2012★ 3 cited

Algebraic Definition of weak ( $\infty$ ; n)-Categories

Camell Kachour

In this paper we define a sequence of monads $T^{(} \infty; n)$ $(n \in N)$ on $\infty$ - $G r$ , the category of the $\infty$ -graphs. We conjecture that al…

math.CT2011

Notes on $n$ -Transformations by Theories ( $n \in N^{*}$ )

Camell Kachour

Clemens Berger showed that Weak Omega Categories of Michael Batanin can be defined as model of a certain kind of theories that he called "homogeneous theories". By using the work o…

Notes on ω-graphs, reflexive ω-graphs, their higher transformations, and ω-operads

Corrections to the article: Operadic definition of the non-strict cells

Algebraic Definition of weak (∞; n)-Categories

Notes on n-Transformations by Theories (n∈N∗)

Notes on $ω$ -graphs, reflexive $ω$ -graphs, their higher transformations, and $ω$ -operads

Algebraic Definition of weak ( $\infty$ ; n)-Categories

Notes on $n$ -Transformations by Theories ( $n \in N^{*}$ )