The space of Conradian left-preorders
Iv\'an Ch\'ercoles-Cuesta
TL;DR
This paper introduces Conradian left-preorders, explores the structure of their space, and provides conditions for finiteness and characterizations, advancing understanding of order structures in algebraic contexts.
Contribution
It defines Conradian left-preorders, analyzes the space of such preorders, and establishes criteria for when this space is finite or uncountable.
Findings
The space of Conradian left-preorders is either finite or uncountable.
Conditions equivalent to the finiteness of this space are identified.
Characterizations of Conradian left-preorders are provided.
Abstract
We define Conradian left-preorders and the space of Conradian left-preorders. We show that this space is either finite or uncountable. We describe conditions that are equivalent to say that the space of Conradian left-preorders is finite. We provide some characterizations of Conradian left-preorders.
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