TY - JOUR
AU - Yildiz, Filiz
PY - 2018/04/02
Y2 - 2024/11/09
TI - Some categorical aspects of the inverse limits in ditopological context
JF - Applied General Topology
JA - Appl. Gen. Topol.
VL - 19
IS - 1
SE -
DO - 10.4995/agt.2018.7812
UR - https://polipapers.upv.es/index.php/AGT/article/view/7812
SP - 101-127
AB - <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>
ER -