On Rado's theorem and its related problems

Author(s):

Mahmoud Mohammadzadeh Jafarabadi , Mohammad Akbari Tootkaboni *

Message:
Article Type:
Research/Original Article (بدون رتبه معتبر)
Abstract:
In this paper, we state Rado's theorem, Ramsey families, and their connections with ergodic theory and combinatorial problems. We discuss the historical development of these concepts since their inception to how some problems in the fields of combinatorics and number theory were formulated and solved, particularly through the lens of dynamical systems. We also address some open questions in this field.
Keywords:

Rado's theorem , partition regular , Ramsey theory , Stone-Cech compactification , upper density

Language:
Persian
Published:
نشریه جبرهای اندازه و کاربردها, Volume:1 Issue: 1, 2023
Pages:
83 to 96
https://magiran.com/p2671912