Geodesic
Infinite products of filters
Mathematica slovaca, Tome 57 (2007) no. 4, pp. 369-380
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Davis, Brian L.; Labuda, Iwo. Infinite products of filters. Mathematica slovaca, Tome 57 (2007) no. 4, pp. 369-380. http://geodesic.mathdoc.fr/item/MASLO_2007_57_4_a7/

[CF] CHEVALLEY C.-FRINK O.: Bicompactness of cartesian products. Bull. Amer. Math. Soc. 47 (1941), 612-614. | MR | Zbl

[DaL] DAVIS B. L.-LABUDA, L: Unity of compactness. Quaest. Math. (2007) (To appear). | MR | Zbl

[D] DOLECKI S.: Convergence-theoretic characterizations of compactness. Topology Appl. 125 (2002), 393-417. | MR | Zbl

[DG] DOLECKI S.-GRECO G. H.: Familles pseudotopologiques de filtres et compacte. C. R. Acad. Sci. Paris Sér. I Math. 296 (1983), 211-214. | MR

[DL] DREWNOWSKI L.-LABUDA, L: On minimal upper semicontinuous compact-valued maps. Rocky Mountain J. Math. 20 (1990), 737-752. | MR | Zbl

[E] ENGELKING R.: General Topology. PWN Polish Scientific Publishers, Warszawa, 1977. | MR | Zbl

[H] Handbook of Set-Theoretic Topology. (K. Kunen, J. E. Vaughan, eds.), Elsevier Science Publishers, Amsterdam-New York-Oxford, 1984. | MR | Zbl

[JLM] JORDAN F.-LABUDA L.-MYNARD F.: Finite products of filters that are compact relative to a class of filters. Appl. Gen. Topol. (To appear). | MR | Zbl

[JM] JORDAN F.-MYNARD F.: Compatible relations on filters and stability of local topological properties under supremum and product. Topology Appl. 153 (2006), 2386-2412 | MR | Zbl

[K] KELLEY J. L.: General Topology. Van Nostrand, New York, 1955. | MR | Zbl

[L] LABUDA, L: Compactoidness. Rocky Mountain J. Math. 36 (2006), 555-574. | MR | Zbl

[N] NOVAK J.: On the cartesian product of two compact spaces. Fund. Math. 40 (1953), 106-112. | MR | Zbl

[P] PETTIS B. J.: Cluster sets of nets. Proc. Amer. Math. Soc. 22 (1969), 386-391. | MR | Zbl

[S] STEPHENSON R. M., Jr.: Initially $\kappa$-compact and related spaces. In: Handbook of Set-Theoretic Topology, Elsevier Science Publishers, 1984, pp. 603-632. | MR | Zbl

[T] TERASAKA H.: On cartesian products of compact spaces. Osaka J. Math. 4 (1952), 11-15. | MR

[V1] VAUGHAN J. E.: Products of topological spaces. General Topology Appl. 8 (1978), 207-217. | MR | Zbl

[V2] VAUGHAN J. E.: Countably compact and sequentially compact spaces. In: Handbook of Set-Theoretic Topology, Elsevier Science Publishers, 1984, pp. 569-602. | MR | Zbl