The impossibility of relations between non-collocated spatial objects and non-identical topological spaces

Jeffrey Grupp

pp. 85-141

in: Axiomathes 15 (1), 2005.

Abstract

I argue that relations between non-collocated spatial entities, between non-identical topological spaces, and between non-identical basic building blocks of space, do not exist. If any spatially located entities are not at the same spatial location, or if any topological spaces or basic building blocks of space are non-identical, I will argue that there are no relations between or among them. The arguments I present are arguments that I have not seen in the literature.