Direct limits of finite spaces of orderings
Mieczysław Kula, Murray A. Marshall, Andrzej Sładek · Pacific Journal of Mathematics · 1984
Spaces of orderings which are direct limits of finite spaces of orderings arise in a natural way.Every space of orderings is canonically a quotient space of such a space.In this paper we examine the internal structure of such spaces.In particular, we examine how the classification theory for finite spaces of orderings carries over to such spaces.We also establish a relationship between spaces of orderings which are direct limits of finite spaces and certain corresponding types of ultrasums of spaces of orderings.This has application to the problem of representing a space of orderings as the space of orderings of a Pythagorean field.391