@article { author = {Kachour, Camell}, title = {Operads of higher transformations for globular sets and for higher magmas}, journal = {Categories and General Algebraic Structures with Applications}, volume = {3}, number = {1}, pages = {89-111}, year = {2015}, publisher = {Shahid Beheshti University}, issn = {2345-5853}, eissn = {2345-5861}, doi = {}, abstract = {‎In this article we discuss examples of fractal $\omega$-operads‎. ‎Thus we show that there is an $\omega$-operadic approach to explain existence of‎ ‎the globular set of globular sets\footnote{Globular sets are also called $\omega$-graphs by the French School.}‎, ‎the reflexive globular set of reflexive globular sets‎, ‎the $\omega$-magma of $\omega$-magmas‎, ‎and also the reflexive $\omega$-magma of reflexive $\omega$-magmas‎. ‎Thus‎, ‎even though the existence of the‎ ‎globular set of globular sets is intuitively evident‎, ‎many other higher structures which \textit{fractality} are less evident‎, ‎could be described‎ ‎with the same technology‎, ‎using fractal $\omega$-operads‎. ‎We have in mind the non-trivial question of the existence of the‎ ‎weak $\omega$-category of the weak $\omega$-categories in the globular setting‎, ‎which is described in \cite{kach-ir3} with the same technology up to a contractibility‎ ‎hypothesis‎.}, keywords = {Higher categories,higher operads,weak higher transformations}, url = {https://cgasa.sbu.ac.ir/article_10528.html}, eprint = {https://cgasa.sbu.ac.ir/article_10528_b04f19db4ee999d77afc297225d3cf14.pdf} }