Some categorical aspects of the inverse limits in ditopological context

Autor:	Filiz Yildiz
Jazyk:	angličtina
Rok vydání:	2018
Předmět:	inverse limit natural transformation co-adjoint functor ditopology concrete isomorphism joint topology Mathematics QA1-939 Analysis QA299.6-433
Zdroj:	Applied General Topology, Vol 19, Iss 1, Pp 101-127 (2018)
Druh dokumentu:	article
ISSN:	1576-9402 1989-4147
DOI:	10.4995/agt.2018.7812
Popis:	This paper considers some various categorical aspects of the inverse systems (projective spectrums) and inverse limits described in the category ifPDitop, 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 InvifPDitop consisting of the inverse systems constructed by the objects and morphisms of ifPDitop, 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 ifPDitop and the ditopological infinite products are characterized by the finite products via inverse limits.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/542e5ecfd1f84900a57898d1b281d3fb Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF