The universal property of the multitude of trees

18Citations
Citations of this article
6Readers
Mendeley users who have this article in their library.

Abstract

A vital ingredient in the first author's definition of weak ω-category is his description, in terms of trees, of the free (strict) ω-category on a globular set. The induced monad on the category of globular sets shares many of the properties of the monoid monad (describable in terms of words) on the category of sets. Bénabou has shown how the simplicial category arises from the monoid monad. The present paper studies the object arising similarly from the ω-category monad. © 2000 Elsevier Science B.V. All rights reserved.

Cite

CITATION STYLE

APA

Batanin, M., & Street, R. (2000). The universal property of the multitude of trees. Journal of Pure and Applied Algebra, 154(1–3), 3–13. https://doi.org/10.1016/S0022-4049(99)00184-X

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free