References
- J. Adámek, H. Herrlich, and G.E. Strecker, Abstract and concrete categories: the joy of cats, Repr. Theory Appl. Categ. 17 (2006), 1–507. Reprint of the 1990 original (Wiley, New York).
- F. Assfaw, Interior operators and their applications, Ph.D. Thesis, University of the Western Cape, South Africa, 2019.
- N. Bourbaki, General Topology: Chapters 1–4, Springer Verlag, Berlin, 1998.
- G. Castellini, Interior operator, open morphism and the preservation property, Applied Categorical Structures 23 (2015), 311–322. doi: 10.1007/s10485-013-9337-4
- D. Dikranjan, Semiregular closure operators and epimorphisms in topological categories, In: V International Meeting on Topology in Italy (Italian)(Lecce, 1990/Otranto, 1990), Rend. Circ. Mat. Palermo (2) Suppl., Vol. 29, pp. 105–160, 1992.
- D. Dikranjan and E. Giuli, Closure operators I, Topology and its Applications 27(2) (1987), 129–143. doi: 10.1016/0166-8641(87)90100-3
- D. Dikrajan and W. Tholen, Categorical structure of closure operators with Applications to Topology, Algebra and Discrete Mathematics, Mathematics and its Applications, Vol. 346, Kluwer Academic Publishers Group, Dordrecht, 1995.
- R. Engelking, General topology, Sigma Series in Pure Mathematics, Vol. 6, Heldermann Verlag, Berlin, 1989.
- E. Giuli and W. Tholen, Openness with respect to a closure operator, Applied Categorical Structures 8 (2000), 487–502. doi: 10.1023/A:1008750131418
- D. Holgate, The pullback closure, perfect morphisms and completions, Ph.D. Thesis, University of Cape Town, South Africa, 1995.
- D. Holgate, The pullback closure operator and generalisations of perfectness, Applied Categorical Structures 4(1) (1996), 107–120. doi: 10.1007/BF00124119
- D. Holgate and M. Iragi, Quasi-uniform and syntopogenous structures on categories, Topology and its Applications 263 (2019), 16–25. doi: 10.1016/j.topol.2019.05.024
- D. Holgate and M. Iragi, Quasi-uniform structures determined by closure operators, Topology and its Applications 295(9) (2021), Paper No. 107669.
- D. Holgate, M. Iragi, and A. Razafindrakoto, Topogenous and nearness structures on categories, Applied Categorical Structures 24 (2016), 447–455. doi: 10.1007/s10485-016-9455-x
- D. Holgate and J. Šlapal, Categorical neighborhood operators, Topology and its Applications 158(17) (2011), 2356–2365. doi: 10.1016/j.topol.2011.06.031
- M. Iragi, Topogenous structures on categories, M.Sc. Thesis, University of the Western Cape, South Africa, 2016.
- M. Iragi, Quasi-uniform and syntopogenous structures on categories, Ph.D.Thesis, University of the Western Cape, 2019.
- M. Iragi and D. Holgate, Quasi-uniform structures and functors, Theory and Applications of categories 39 (2023), 519–534.
- A. Razafindrakoto, Neighbourhood operators on categories, Ph.D. Thesis, Stellenbosch University, South Africa, 2013.
- A. Razafindrakoto and D. Holgate, Interior and neighbourhood, Topology and its Applications 168 (2014), 144–152. doi: 10.1016/j.topol.2014.02.019
- L. Stramaccia, Classes of spaces defined by an epireflector, Rendiconti del Circolo Matematico di Palermo. Serie II. Supplemento 18 (1988), 423–432.
- S.J.R. Vorster, Interior operators in general categories, Quaest. Math. 23(4) (2000), 405–416. doi: 10.2989/16073600009485987