# Extremal set theory for the binomial norm

## TL;DR

This paper establishes optimal bounds in extremal set theory for families avoiding s pairwise disjoint sets, extending classical results and applying to multiple families.

## Contribution

It provides the best possible bounds for these set families, generalizing and unifying several classical results in extremal combinatorics.

## Key findings

- Optimal bounds for families without s disjoint sets
- Extension of classical extremal set theory results
- Application to multiple families in combinatorics

## Abstract

Best possible bounds are established for families without s pairwise disjoint members and the more general problem for several families. The results are shown to apply several classical results.