# Multicolour chain avoidance in the boolean lattice

## TL;DR

This paper investigates the problem of counting colored subsets of the boolean lattice that avoid certain chain configurations, providing estimates for their quantities based on the collection of chain posets.

## Contribution

It introduces new methods for estimating the number of chain-avoiding colored subsets in the boolean lattice, extending previous combinatorial bounds.

## Key findings

- Derived bounds for the number of chain-avoiding subsets
- Extended existing combinatorial techniques to colored posets
- Provided estimates applicable to various chain collections

## Abstract

Given a collection of colored chain posets, we estimate the number of colored subsets of the boolean lattice which avoid all chains in the collection.