Spaces of Orderings and Applications - Lecture 1

Explore the concept of spaces of orderings and their applications in this 56-minute lecture by Andrés Navas, part of the "Groupes ordonnés/Orderable Groups" series at the Centre de recherches mathématiques (CRM). Delve into the natural topology of order spaces for orderable groups, examining how these spaces maintain compactness regardless of the group's cardinality. Investigate the general properties of these spaces and their connections to the underlying group's algebraic characteristics. Engage with open questions in the field and gain insights into the relationship between order spaces and group properties. Enhance your understanding of orderable groups and their topological representations in this comprehensive mathematical exploration.