Foundations of Temperature Theory
arXiv:2009.02876
Abstract
Temperature of combinatorial games have been long studied since when Conway established the modern combinatorial game theory, and there are several variations of the concepts. In this article, we focus on one of the classical versions of temperature, and give precise proofs to the fundamental claims on temperature, namely, the existence, order-preservation, and homomorphism. Besides, a general relationship between the value and the thermograph of a game is investigated.
20 pages, no figures, Abstract and Introduction revised, mail address changed, results unchanged