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1995 | 116 | 1 | 49-57
Tytuł artykułu

The functor σ²X

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EN
Abstrakty
EN
We disprove the existence of a universal object in several classes of spaces including the class of weakly Lindelöf Banach spaces.
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Twórcy
  • Department of Mathematics, University of Toronto, Toronto, Canada M5S 1A1
  • Matematički Institut, Kneza Mihaila 35, 11000 Beograd, pp. 38, Yugoslavia
Bibliografia
  • [0] S. Argyros and Y. Benyamini, Universal WCG Banach spaces and universal Eberlein compacts, Israel J. Math. 58 (1987), 305-320.
  • [1] S. Argyros and S. Mercourakis, Weakly Lindelöf Banach spaces, Rocky Mountain J. Math. 23 (1993), 395-446.
  • [2] Y. Benyamini, M. E. Rudin and M. Wage, Continuous images of weakly compact subsets of Banach spaces, Pacific J. Math. 70 (1977), 309-324.
  • [3] Y. Benyamini and T. Starbird, Embedding weakly compact sets into Hilbert space, Israel J. Math. 23 (1976), 137-141.
  • [4] H. H. Corson, The weak topology of a Banach space, Trans. Amer. Math. Soc. 101 (1961), 1-15.
  • [5] A. S. Esenin-Vol'pin, On the existence of universal bicompacta in a given weight, Dokl. Akad. Nauk SSSR 68 (1949), 649-652 (in Russian).
  • [6] V. V. Filippov, On perfectly normal bicompacta, Soviet Math. Dokl. 10 (1969), 1503-1507.
  • [7] A. M. Gleason and R. P. Dilworth, A generalized Cantor Theorem, Proc. Amer. Math. Soc. 13 (1962), 704-705.
  • [8] G. Gruenhage, On a Corson space of Todorčević, Fund. Math. 126 (1986), 261-268.
  • [9] S. P. Gul'ko, On the structure of spaces of continuous functions and their complete paracompactness, Russian Math. Surveys 34 (1979), 36-44.
  • [10] F. Hartogs, Über das Problem der Wohlordnung, Math. Ann. 76 (1915), 436-443.
  • [11] G. Kurepa, Ensembles ordonnés et leur sous-ensembles bien ordonnés, C. R. Acad. Sci. Paris 242 (1956), 2202-2203.
  • [12] A. G. Leiderman and G. A. Sokolov, Adequate families of sets and Corson compacta, Comment. Math. Univ. Carolin. 25 (1984), 233-245.
  • [13] R. Pol, On a question of H. H. Corson and some related problems, Fund. Math. 109 (1980), 143-154.
  • [14] D. B. Shakhmatov, Compact spaces and their generalizations, in: Recent Progress in Topology, M. Hušek and J. van Mill (eds.), Elsevier, 1992.
  • [15] W. Szlenk, The non-existence of a separable reflexive Banach space universal for all separable reflexive Banach spaces, Studia Math. 30 (1968), 53-61.
  • [16] M. Talagrand, Espaces de Banach faiblement K-analytiques, Ann. of Math. 110 (1979), 407-438.
  • [17] S. Todorčević, Partition relations for partially ordered sets, Acta Math. 155 (1985), 1-25.
  • [18] M. Valdivia, Resolutions of the identity in certain Banach spaces, Collect. Math. 39 (1988), 127-140.
  • [19] L. Vašak, On one generalization of weakly compactly generated Banach spaces, Studia Math. 70 (1981), 1-19.
  • [20] S. Watson and W. Weiss, A topology on the union of the double arrow space and the integers, Topology Appl. 28 (1988), 177-179.
  • [21] E. Zermelo, Beweis, das jede Menge wohlgeordnet werden kann, Math. Ann. 59 (1904), 514-516.
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bwmeta1.element.bwnjournal-article-smv116i1p49bwm
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