Some Conjectures About Generalized Limits

Continuing my research from general topology monograph Algebraic General Topology, the following new open problems arose: I remind that I define generalized limit of arbitrary function. This limit is defined in terms of funcoids. As I show in the Book 3, Algebra, generalized limit is defined for generalized spaces, for example for reloids. So, how […]

Proximities are reflexive, symmetric, transitive funcoids

I’ve done a little discovery today: Proximities are the same reflexive, symmetric, transitive funcoids. For now I leave to prove this as an exercise for a reader. But later I am going to include this theorem into the book I am writing.