Tightness, character and related properties of hyperspace topologies

Alleche, 2000, Weak developments and metrization, Topology Appl., 100, 23, 10.1016/S0166-8641(98)00135-7 Alleche, 1999, On the coincidence of the upper Kuratowski topology with the cocompact topology, Topology Appl., 93, 207, 10.1016/S0166-8641(97)00269-1 Arhangel'skii, 1972, The frequency spectrum of a topological space and the classification of spaces, Soviet Math. Doklady, 13, 1185 Arhangel'skii, 1981, The frequency spectrum of a topological space and the product operation, Trans. Moscow Math. Soc., 2, 163 Arab, 1994, Sur la topologie de Fell et la topologie de la convergence, C. R. Acad. Sci. Paris I Math., 318, 549 Arab, 1997, Comparison of some classical topologies on hyperspaces within the framework of point spaces, Set-Valued Anal., 5, 47, 10.1023/A:1008621109453 Beer, 1993 Bouziad, 1996, Borel measures in consonant spaces, Topology Appl., 70, 125, 10.1016/0166-8641(95)00089-5 Costantini, 1999, On a problem of Nogura about the product of Fréchet–Urysohn 〈α4〉-spaces, Comment. Math. Univ. Carolin., 40, 537 Costantini, 1995, Infima of hyperspace topologies, Mathematika, 83, 67, 10.1112/S0025579300011360 Costantini, 1993, Metrics that generate the same hyperspace convergence, Set-Valued Anal., 1, 141, 10.1007/BF01027689 Costantini, 2000, An α4, not Fréchet product of α4 Fréchet spaces, Topology Appl., 108, 43, 10.1016/S0166-8641(00)90096-8 Costantini, 1995, On the infimum of the Hausdorff metric topologies, Proc. London Math. Soc., 70, 441, 10.1112/plms/s3-70.2.441 Costantini, 1999, Decomposition of topologies on lattices and hyperspaces, Dissertationes Math., 381, 48 Costantini, 1998, On the dissonance of some metrizable spaces, Topology Appl., 84, 259, 10.1016/S0166-8641(97)00096-5 Dolecki, 1995, When do the upper Kuratowski topology (homeomorphically, Scott topology) and the co-compact topology coincide?, Trans. Amer. Math. Soc., 347, 2869, 10.1090/S0002-9947-1995-1303118-7 Di Maio, 1995, On Hit-and-miss topologies, Società Nazionale di Scienze, Lettere ed Arti in Napoli. Rendiconto dell'Accademia delle Scienze Fisiche e Matematiche, 62, 103 Di Maio, 2001, Properties related to the first countability of hyperspace topologies, Questions Answers Gen. Topology, 19, 139 Dow, 1995, More set-theory for topologists, Topology Appl., 64, 243, 10.1016/0166-8641(95)00034-E Engelking, 1989 Frolı́k, 1960, Generalizations of the Gδ-property of complete metric spaces, Czechoslovak Math. J., 10, 359, 10.21136/CMJ.1960.100420 Gruenhage, 1984, Generalized metric spaces, 423 Hodel, 1984, Cardinal functions I, 1 Holá, 1997, Decomposition properties of hyperspace topologies, Set-Valued Anal., 5, 309, 10.1023/A:1008608209952 Hou, 1998, Character and tightness of hyperspaces with the Fell topology, Topology Appl., 84, 199, 10.1016/S0166-8641(97)00092-8 Hou, 1999, A note on the Fell topology, Questions Answers Gen. Topology, 17, 81 Kunen, 1980 LaBerge, 1995, Tightness in products of fans and pseudo-fans, Topology Appl., 65, 237, 10.1016/0166-8641(95)00003-Y Malyhin, 1972, On tightness and Suslin number in expX and in a product of spaces, Soviet Math. Doklady, 13, 496 McCoy, 1988, Topological Properties of Spaces of Continuous Functions, vol. 1315 Michael, 1964, A note on closed maps and compact sets, Israel J. Math., 2, 173, 10.1007/BF02759940 Nykos, 1992, Subsets of ωω and the Fréchet–Urysohn and αi properties, Topology Appl., 48, 91, 10.1016/0166-8641(92)90021-Q Simon, 1980, A compact Fréchet space whose square is not Fréchet, Comment. Math. Univ. Carolin., 21, 749 Siwiec, 1975, Generalizations of the first axiom of countability, Rocky Mountain J. Math., 5, 1, 10.1216/RMJ-1975-5-1-1 Tironi, 1988, On pseudo radial and almost radial spaces, 567 Todorcevic, 1993, Some applications of S and L combinatorics, vol. 705, 130 van Douwen, 1984, The integers and topology, 111