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z-compact space; z-Lindelof space; compact space; pseudocompact space; realcompact space

References:

[1] Frolik, Z.: **Generalizations of compact and Lindelof spaces**. Czechoslovak Math. J. 9 (84) (1959), 172–217, (Russian). MR 0105075 | Zbl 0098.14201

[2] Gillman, L., Jerison, M.: **Rings of continuous functions**. University Series in Higher Mathematics, Springer-Verlag, 1960. MR 0116199 | Zbl 0093.30001

[3] Kirch, A.M.: **A countable, connected, locally connected Hausdorff space**. Amer. Math. Monthly 76 (1969), 169–171. DOI 10.2307/2317265 | MR 0239563 | Zbl 0174.25602

[4] Kohli, J.K.: **Quasi z-supercontinuous and pseudo z-supercontinuous functions**. Stud. Cercet. Ştiinţ. Ser. Mat. Univ. Bacău 14 (2004) (2005), 43–56. MR 2239863

[5] Steen, L.A., Seebach, J. A., Jr., : **Counterexamples in Topology**. second ed., Springer-Verlag, 1978. MR 0507446 | Zbl 0386.54001