Closure, interior and neighbourhood in a category

Home Page
About
Submit A Journal
Submit A Conference
Submit Paper/Book
- Submit a Preprint
- Submit a Book
Contact

Hacettepe Journal of Mathematics and Statistics
Volume:47 Issue:6
Closure, interior and neighbourhood in a category

Closure, interior and neighbourhood in a category

Authors : David HOLGATE, Josef SLAPAL

Pages : 1512-1520

View : 44 | Download : 12

Publication Date : 2018-12-12

Article Type : Research Paper

Abstract :The natural correspondences in topology between closure, interior and neighbourhood no longer hold in an abstract categorical setting where subobject lattices are not necessarily Boolean algebras. We analyse three canonical correspondences between closure, interior and neighbourhood operators in a category endowed with a subobject structure. While these correspondences coincide in general topology, the analysis highlights subtle differences which distinguish different approaches taken in the literature.
Keywords : Categorical closure operator, interior operator, neighbourhood operator

ORIGINAL ARTICLE URL

* There may have been changes in the journal, article,conference, book, preprint etc. informations. Therefore, it would be appropriate to follow the information on the official page of the source. The information here is shared for informational purposes. IAD is not responsible for incorrect or missing information.

Index of Academic Documents
İzmir Academy Association
CopyRight © 2023-2026