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