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H-closed spaces and reflective subcategories

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References

  1. Alexandroff, P., and P. Urysohn: Zur Theorie der topologischen Räume. Math. Ann.92, 258–266 (1924).

    Google Scholar 

  2. ——, Mémoire sur les espaces topologiques compacts. Verh. Nederl. Akad. Wetensch., Afd. Natuurk. Sect. I,14, 1–96 (1929).

    Google Scholar 

  3. Banaschewski, B.: Über nulldimensionale Räume. Math. Nachr.13, 129–140 (1955).

    Google Scholar 

  4. —— On the Katětov and Stone-Čech extensions. Canad. Math. Bull.2, 1–4 (1959).

    Google Scholar 

  5. Berri, M. P.: Minimal topological spaces. Trans. Amer. Math. Soc.108, 97–105 (1963).

    Google Scholar 

  6. Bourbaki, N.: Topologie Générale, 3e éd. Actualities Sci. Ind.1142, Paris: Hermann 1961.

    Google Scholar 

  7. Čech, E.: On bicompact spaces. Ann. of Math. (2)38, 823–844 (1937).

    Google Scholar 

  8. Chevalley, C., and O. Frink, Jr.: Bicompactness of Cartesian products. Bull. Amer. Math. Soc.47, 612–614 (1941).

    Google Scholar 

  9. Engelking, R., and S. Mrówka: OnE-compact spaces. Bull. Acad. Polon. Sci., Sér. Sci. Math. Astrom. Phys.6, 429–436 (1958).

    Google Scholar 

  10. Flachsmeyer, J.: Zur Theorie derH-abgeschlossenen Erweiterungen. Math. Z.94, 349–381 (1966).

    Google Scholar 

  11. Fomin, S.: Extensions of topological spaces. Ann. of Math.44, 471–480 (1943).

    Google Scholar 

  12. Gillman, L., and M. Jerison: Rings of continuous functions. Princeton: van Nostrand 1960.

    Google Scholar 

  13. Herrlich, H.: On the concept of reflections in general topology. (To appear.)

  14. Hilton, P. J.: Catégories non-Abeliennes. Lecture notes, University of Montreal, 1964.

  15. Iliadis, S.: Characterization of spaces by means ofH-closed extensions. Dokl. Akad. Nauk. SSSR,149, 1015–1018 (1963) = Soviet Math. Dokl.4, 501–504 (1963).

    Google Scholar 

  16. Katětov, M.: ÜberH-abgeschlossene und bikompakte Räume. Časopis Pěst. Mat.69, 36–49 (1940).

    Google Scholar 

  17. Kennison, J. F.: Reflective functors in general topology and elsewhere. Trans. Amer. Math. Soc.118, 303–315 (1965).

    Google Scholar 

  18. Liu, C. T.: Absolutely closed spaces. Trans. Amer. Math. Soc. (to appear).

  19. Mrówka, S.: A property of Hewitt-extensionvX of topological spaces. Bull. Acad. Polon., Sci., Sér. Sci. Math. Astrom. Phys.6, 95–96 (1958).

    Google Scholar 

  20. Obreanu, F.: Spatii absolut inchise. Acad. Repub. Pop. Române Bul. Sti., Mat. Fiz. Chim.2, 21–25 (1950).

    Google Scholar 

  21. Porter, J., and J. Thomas: OnH-closed and minimal Hausdorff spaces (to appear).

  22. Strecker, G. E., and E. Wattel: On semi-regular and minimal Hausdorff embeddings. Nederl. Akad. Wetensch. Proc. Ser. A70 = Indag. Math.29, 234–237 (1967).

    Google Scholar 

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Herrlich, H., Strecker, G.E. H-closed spaces and reflective subcategories. Math. Ann. 177, 302–309 (1968). https://doi.org/10.1007/BF01350722

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