vix.ing · top · new · best · stats · spec

A colored Tverberg type theorem for unavoidable complexes

2023/02/24 by Mikhail Bludov, Bludov, Mikhail
Computer Science · Physics and Astronomy · #05E45 #52A35 #Algebraic Topology (math.AT) #Combinatorics (math.CO) #Complex Network Analysis Techniques #Data Visualization and Analytics #FOS: Mathematics #Metric Geometry (math.MG) #Topological and Geometric Data Analysis

paper · pdf · doi:10.48550/arxiv.2302.12430

openalex publication_date 2023/02/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The main result of this paper is a "colored Tverberg theorem for rainbow-unavoidable complexes". This theorem may be considered as a merging of two theorems: "Tverberg theorem for collectively unavoidable complexes" and "balanced colored Tverberg theorem". The main tool for the proof is discrete Morse theory.

Related