
TL;DR
This paper provides a condensed overview of the formal theory of monads within 2-categories and introduces two double categories of monads, extending prior work by Lack and Street.
Contribution
It extends the existing 2-categories of monads to include two new double categories, enriching the theoretical framework.
Findings
Introduces two double categories of monads in a 2-category.
Extends Lack and Street's 2-categories of monads.
Provides a condensed overview of the formal theory of monads in 2-categories.
Abstract
This is a condensed overview of the formal theory of monads in a 2-category. We also define two double categories of monads in a 2-category, extending Lack and Street's 2-categories of monads.
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