# KKM theorems and discrete geometry beyond matroids

Authors: Pablo Soberón
Year: 2026
Status: submitted
Paper page: https://www.psoberon.com/papers/beyond-matroids/
arXiv: https://arxiv.org/abs/2606.16832

Topics: Topological combinatorics; Helly-type theorems; Tverberg theory

## Overview

Selection structures extend the role of color classes and matroids in KKM theorems and discrete geometry.