Skew-monoidal reflection and lifting theorems

Stephen Lack and Ross Street

This paper extends the Day Reflection Theorem to skew monoidal categories. We also provide conditions under which a skew monoidal structure can be lifted to the category of Eilenberg-Moore coalgebras for a comonad.

Keywords: skew monoidal category, reflective subcategory, warping, comonad

2010 MSC: 18D10; 18A40, 18D15, 18D20

Theory and Applications of Categories, Vol. 30, 2015, No. 28, pp 985-1000.

Published 2015-07-12.

Revised 2016-09-12. Original version at

TAC Home