فهرست مطالب کمل کچور
-
Categories and General Algebraic Structures with Applications, Volume:16 Issue: 1, Jan 2022, PP 189 -220
In this article we recast some of the results developped in articles [19, 22] but in the setup of cubical geometry. Thus we define a monad on ℂ𝕊ets whose algebras are models of cubical weak ∞-groupoids with connections. In addition, we define a monad on the category ℂ𝕊ets ×ℂ𝕊ets whose algebras are models of cubical weak ∞-functors, and a monad on the category ℂ𝕊ets ×ℂ𝕊ets ×ℂ𝕊ets ×ℂ𝕊ets whose algebras are models of cubical weak ∞-natural transformations.
Keywords: cubical weak ∞-groupoids with connections, homology theory, homotopy theory, computer sciences} -
Categories and General Algebraic Structures with Applications, Volume:16 Issue: 1, Jan 2022, PP 143 -187
In this article we adapt some aspects of Penon’s article [23] to cubical geometry. More precisely we define a monad on the category CSets of cubical sets (without degeneracies) whose algebras are models of cubical weak ∞-categories with connections.
Keywords: cubical weak ∞-groupoids with connections, homology theory, homotopy theory, computer science} -
Categories and General Algebraic Structures with Applications, Volume:4 Issue: 1, Feb 2016, PP 9 -42We start this article by rebuilding higher operads of weak higher transformations, and correct those in \cite{Cambat}. As in \cite{Cambat} we propose an operadic approach for weak higher n-transformations, for each n∈N, where such weak higher n-transformations are seen as algebras for specific contractible higher operads. The last chapter of this article asserts that, up to precise hypotheses, the higher operad B0C of Batanin and the terminal higher operad B0Su , both have the fractal property. In other words we isolate the precise technical difficulties behind a major problem in globular higher category theory, namely, that of proving the existence of the globular weak higher category of globular weak higher categories.Keywords: globular sets, weak higher categories, weak higher transformations, higher operads}
- در این صفحه نام مورد نظر در اسامی نویسندگان مقالات جستجو میشود. ممکن است نتایج شامل مطالب نویسندگان هم نام و حتی در رشتههای مختلف باشد.
- همه مقالات ترجمه فارسی یا انگلیسی ندارند پس ممکن است مقالاتی باشند که نام نویسنده مورد نظر شما به صورت معادل فارسی یا انگلیسی آن درج شده باشد. در صفحه جستجوی پیشرفته میتوانید همزمان نام فارسی و انگلیسی نویسنده را درج نمایید.
- در صورتی که میخواهید جستجو را با شرایط متفاوت تکرار کنید به صفحه جستجوی پیشرفته مطالب نشریات مراجعه کنید.