There are various generalizations of the usual T_2 (Hausdorff) axiom of topology to an arbitrary topological category defined in . In this paper, four more new generalizations of Hausdorff spaces are given in the topological categories. Moreover, the relationships among all of these T_2 structures and the ones given in  and  as well as some invariance properties of them are investigated in the categories of filter and local filter convergence spaces. Keywords: Topological Categories, T_2-objects, Filter Convergence Spaces.
BARAN, M. (1996) "T_2-OBJECTS IN CATEGORIES OF FILTER AND LOCAL FILTER CONVERGENCE SPACES," Turkish Journal of Mathematics: Vol. 20: No. 2, Article 3. Available at: https://journals.tubitak.gov.tr/math/vol20/iss2/3