Topological Functors via Closure Operators

Abstract

In this article for a given category X , we fully embed certain categories of closure operators on a given collection M ⊆ X1, in certain categories of preclass-valued lax presheaves on X . We then fully embed the just mentioned categories of preclass-valued lax presheaves on X , in certain categories of topological functors on X . Combining the full embeddings obtained, we construct a topological functor from a given closure operator.