Colored Tverberg theorem with new constraints on the faces

TL;DR

This paper presents a new version of the Colored Tverberg Theorem that incorporates constraints on the faces, specifically limiting the number of faces for each color, advancing combinatorial geometry understanding.

Contribution

The paper introduces a novel constrained version of the Colored Tverberg Theorem, expanding its applicability and theoretical framework.

Findings

Proved a new constrained version of the Colored Tverberg Theorem.

Established limits on the number of faces per color in the theorem.

Enhanced understanding of face constraints in colored geometric partitions.

Abstract

In this paper, we prove a version of the Colored Tverberg Theorem with new constraints on the faces, in which we limit the number of faces with each one of the colors.