Factorisations of distributive laws
Ulrich Kraehmer, Paul Slevin
TL;DR
This paper introduces the concept of factorisations of distributive laws, demonstrating their role in acting on duplicial objects constructed from (co)monads, with explicit examples provided.
Contribution
It defines the category of factorisations of a distributive law and shows how it influences the construction of duplicial objects from (co)monads.
Findings
Defined the category of factorisations of a distributive law
Showed the action of this category on duplicial objects
Provided explicit examples of factorisations
Abstract
Recently, Boehm and Stefan constructed duplicial (paracyclic) objects from distributive laws between (co)monads. Here we define the category of factorisations of a distributive law, show that it acts on this construction, and give some explicit examples.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Homotopy and Cohomology in Algebraic Topology