Topological Functors via Closure Operators

Year 2013, Volume: 10 Issue: 1, - , 01.05.2013

Mina Jamshidi Seyed Naser Hosseini

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.

Keywords

Closure operator, lax presheaf, lax natural transformation, (complete) preordered or partially ordered class, (weak) topological functor

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