The size of the largest antichains in products of linear orders

TL;DR

This paper investigates the maximum size of antichains in the product of multiple linear orders, providing new exact and asymptotic results that advance understanding in order theory.

Contribution

It introduces novel exact and asymptotic formulas for the largest antichains in products of linear orders, improving upon previous bounds.

Findings

Derived new exact formulas for specific cases.

Established asymptotic behavior for large product sizes.

Enhanced theoretical understanding of order antichains.

Abstract

We present new exact and asymptotic results about the size of the largest antichain in the product of $n$ linear orders.