@article{Yildiz_2018, title={Some categorical aspects of the inverse limits in ditopological context}, volume={19}, url={https://polipapers.upv.es/index.php/AGT/article/view/7812}, DOI={10.4995/agt.2018.7812}, abstractNote={<p>This paper considers some various categorical aspects of the inverse systems (projective spectrums) and inverse limits described in the category if<strong>PDitop</strong>, whose objects are ditopological plain texture spaces and morphisms are bicontinuous point functions satisfying a compatibility condition between those spaces. In this context, the category <strong>Inv<sub>ifPDitop</sub></strong> consisting of the inverse systems constructed by the objects and morphisms of if<strong>PDitop</strong>, besides the inverse systems of mappings, described between inverse systems, is introduced, and the related ideas are studied in a categorical - functorial setting. In conclusion, an identity natural transformation is obtained in the context of inverse systems - limits constructed in if<strong>PDitop</strong> and the ditopological infinite products are characterized by the finite products via inverse limits.</p>}, number={1}, journal={Applied General Topology}, author={Yildiz, Filiz}, year={2018}, month={Apr.}, pages={101–127} }