کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6425134 1633786 2016 71 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Lax orthogonal factorisation systems
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
Lax orthogonal factorisation systems
چکیده انگلیسی

This paper introduces lax orthogonal algebraic weak factorisation systems on 2-categories and describes a method of constructing them. This method rests in the notion of simple 2-monad, that is a generalisation of the simple reflections studied by Cassidy, Hébert and Kelly. Each simple 2-monad on a finitely complete 2-category gives rise to a lax orthogonal algebraic weak factorisation system, and an example of a simple 2-monad is given by completion under a class of colimits. The notions of kz lifting operation, lax natural lifting operation and lax orthogonality between morphisms are studied.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Mathematics - Volume 302, 22 October 2016, Pages 458-528
نویسندگان
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