A Note on Inverse Systems of $\boldsymbol{S(n)}$-Closed Spaces
DOI:
https://doi.org/10.5644/SJM.11.1.10Keywords:
Inverse systems, S(n)-closedAbstract
The aim of this paper is to study inverse systems of the $S(n)$-closed spaces which are the generalization of H-closed and Urysohn-closed spaces.
2010 Mathematics Subject Classification. Primary: 54A05, Secondary: 54B35
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Abstract: 11 / PDF: 1
References
M. P. Berri, J. R. Porter and R.M. Stephenson, A Survey of Minimal Topological Spaces, in: General Topology and its Relations to Modern Analysis and Algebra, Proc. Kanpur Top. Conf. (Academic Press, New York, 1970), 93–l14.
R. F. Dickman, Jr., and Jack R. Porter, θ-perfect and θ-absolutely closed functions, Illinois J. Math., 21 (1977), 42–60.
D. Dikranjan and E. Giuli, S(n)-θ-closed spaces, Topology and its Applications 28 (1988), 59–74.
R. Engelking, General Topology, PWN, Warszawa, 1977.
T. Hamlett, H-closed spaces and the associated θ−convergence space, Math. Chronicle, 8 (1979), 83–88.
H. Herrlich, Tν-Abgeschlossenheit und Tν-Minimalititat, Math. Z., 88 (1965), 285–294.
J. Mioduszewski and L. Rudolf, H-closed and extremally disconnected Hausdorff spaces, Diss. Math., 51 (1969).
M. N. Mukherjee and Atasi Debily, On H-closed space and grills, An. S¸tiin. Univ. Al. I. Cuza Ia¸si, Mat., 44 (1998), 1–25.
A. V. Osipov, Nearly H-closed spaces, J. Math. Sci., 155 (2008), 624-631.
J. R. Porter and C. Votaw, S(α) spaces and regular Hausdortf extensions, Pacific J. Math., 45 (1973), 327–345.
J. R. Porter and J. Thomas, On H-closed and minimal Hausdorff spaces, Trans. Amer. Math. Soc., 138 (1969), 159–170.
C. T. Scarborough, Minimal Urysohn spaces, Pacific J. Math., 27 (1968), 611–617.
A. H. Stone, Inverse limits of compact spaces, Gen. Topology Appl., 10 (1979), 203–211.
L. Stramaccia, S(n)-spaces and H-sets, Comment. Math. Univ. Carolinae, 29 (1988), 221–226.
V. M. Uljanov, O bikompaktnyh rasˇsirenijah sˇcetnogo haraktera i absoljutah, Mat. Sbornik, 98 (1975), 223–254.
H. V. Velichko, H-closed topological spaces, Mat. Sb. (N.S.), 70 (112) (1966), 98–112.
G. A. Viglino, T n spaces, Notices Amer. Math. Soc., 16 (1969), 846.
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