References

  1. Barr M., Wells Ch. Toposes, Triples and Theories. Springer-Verlag, New York, 1985. Republished in: Repr. Theory Appl. Categ. 2005, 12, 1–287.
  2. Fedorchuk V.V. Covariant functors in the category of compacta, absolute retracts and \(Q\)-manifolds. Russian Math. Surveys 1981, 36 (3), 211–233.
  3. Gierz G., Hofmann K.H., Keimel K., Lawson J.D., Mislove M., Scott D.S. Continuous Lattices and Domains. Cambridge University Press, London, 2003.
  4. Keremedis K., Tachtsis E., Wajch E. On iso-dense and scattered spaces in ZF. arXiv:2101.02825 [math.GN] doi:10.48550/arXiv.2101.02825
  5. Koporkh K., Mykytsey O. Way Below and Way Above Relation for Quotient Objects of Compacta. Precarpathian Bull. Shevchenko Sci. Soc., Number 2026, 22 (83), 88–94. doi:10.31471/2304-7399-2026-22(83)-88-94 (in Ukrainian)
  6. Koporkh K. Topologies on the set of quotient objects of a compact Hausdorff space. Proc. Intern. Geometry Center 2010, 3 (3) 40–47. (in Ukrainian)
  7. Nykorovych S., Nykyforchyn O., Zagorodnyuk A. Approximation relations on the posets of pseudoultrametrics. Axioms 2023, 12 (5), 438. doi:10.3390/axioms12050438
  8. Nykorovych S., Nykyforchyn O. Metric and topology on the poset of compact pseudoultrametrics. Carpathian Math. Publ. 2023, 15 (2), 321–330. doi:10.15330/cmp.15.2.321-330
  9. Nykyforchyn O.R. Quotient object functor in the category of zero-dimensional compacta. In: Zarichnyi M.M., Komarnytskyi M.Ya. (Eds.) Algebra and Geometry: selected works. Lviv State University, 1996, 104–109. (in Ukrainian)
  10. Shchepin E.V. Topology of limit spaces of uncountable inverse spectra. Russian Math. Surveys 1976, 31 (5), 155–191.