City Research Online

Abstract

We show that the sets of d-dimensional Latin hypercubes over a non-empty set X, with d running over the positive integers, determine an operad which is isomorphic to a sub-operad of the endomorphism operad of X. We generalise this to categories with finite products, and then further to internal versions for certain Cartesian closed monoidal categories with pullbacks.

Publication Type:	Article
Additional Information:	© The Author(s), 2025. Published by Cambridge University Press on behalf of Glasgow Mathematical Journal Trust. This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (https://creativecommons.org/licenses/by/4.0/), which permits unrestricted re-use, distribution, and reproduction in any medium, provided the original work is properly cited.
Publisher Keywords:	Latin hypercube; operad
Subjects:	Q Science > QA Mathematics
Departments:	School of Science & Technology School of Science & Technology > Mathematics
SWORD Depositor:	Symplectic Administrator

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