Operads of higher transformations for globular sets and for higher magmas

In this article we discuss examples of fractal ω-operadsý. ýThus we show that there is an ω-operadic approach to explain existence ofý ýthe globular set of globular sets\footnote{Globular sets are also called ω-graphs by the French School.}ý, ýthe reflexive globular set of reflexive globular setsý, ýthe ω-magma of ω-magmasý, ýand also the reflexive ω-magma of reflexive ω-magmasý. ýThusý, ýeven though the existence of theý ýglobular set of globular sets is intuitively evidentý, ýmany other higher structures which \textit{fractality} are less evidentý, ýcould be describedý with the same technologyý, ýusing fractal ω-operadsý. ýWe have in mind the non-trivial question of the existence of theý ýweak ω-category of the weak ω -categories in the globular settingý, ýwhich is described in \cite{kach-ir3} with the same technology up to a contractibilityý ýhypothesisý.