Monthly Archives: November 2024

A vector space $V$ with the closure operation defined by taking a subset $A \subseteq V$ to the linear span of $A$ is a quintessential example of a pregeometry.  To any vector space $V$ we may define the dimension of … Continue reading →

For the sake of building a dimension theory for definable sets in o-minimal structures, we will  follow a more model theoretic approach, due to Pillay, to dimensions than what appears in van den Dries’ book.  That is, we will show … Continue reading →