Kelley's Theorem and Some Related Results

TL;DR

This paper provides an elementary proof of Kelley's theorem using a minimax approach and explores related applications, offering new insights into the theorem's implications.

Contribution

It introduces a simplified proof of Kelley's theorem and extends its applications to related mathematical problems.

Findings

Elementary proof of Kelley's theorem established

Applications to related problems demonstrated

Minimax argument as a key technique

Abstract

We give an elementary proof of Kelley's theorem based on a minimax argument. Some applications to related problems are also developed.