- Cankaya University Journal of Science and Engineering
- Vol: 10 Issue: 1
- Topological Functors via Closure Operators
Topological Functors via Closure Operators
Authors : Mina Jamshidi, Seyed Naser Hosseini
Pages : 0-0
View : 6 | Download : 5
Publication Date : 2013-05-01
Article Type : Research
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