Topological Functors via Closure Operators

Authors : Mina Jamshidi, Seyed Naser Hosseini

Pages : 0-0

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Publication Date : 2013-05-01

Article Type : Research Paper

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