Žan Grad, Fundamentals of Lie categories, 2. del

In this talk, we will continue uncovering elementary qualities of Lie categories -- the notion of rank from linear algebra will be generalized to morphisms of Lie categories, and its general properties will be developed. We will also introduce the notion of an extension of a Lie category to a groupoid, and show how the existence of such an extension affects the algebroids and ranks. If time permits, we will talk about completeness of invariant vector fields on Lie categories.