>
Fa   |   Ar   |   En
   Operads of higher transformations for globular sets and for higher magmas  
   
نویسنده - -
منبع categories and general algebraic structures with applications - 2015 - دوره : 3 - شماره : 1 - صفحه:89 -111
چکیده    ‎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 setsfootnote{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.
کلیدواژه Higher categories ,higher operads ,weak higher transformations
آدرس Department of Mathematics, Macquarie University,, Department of Mathematics, Macquarie University, Sydney, Australia , ایران
پست الکترونیکی camell.kachour@gmail.com
 
     
   
Authors
  
 
 

Copyright 2023
Islamic World Science Citation Center
All Rights Reserved