Adequate families of sets and Corson compacts

Arkady G. Leiderman; Genadij A. Sokolov

Commentationes Mathematicae Universitatis Carolinae (1984)

  • Volume: 025, Issue: 2, page 233-246
  • ISSN: 0010-2628

How to cite

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Leiderman, Arkady G., and Sokolov, Genadij A.. "Adequate families of sets and Corson compacts." Commentationes Mathematicae Universitatis Carolinae 025.2 (1984): 233-246. <http://eudml.org/doc/17312>.

@article{Leiderman1984,
author = {Leiderman, Arkady G., Sokolov, Genadij A.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Eberlein compact; Corson compact; bush; Lindelöf -space; adequate family},
language = {eng},
number = {2},
pages = {233-246},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Adequate families of sets and Corson compacts},
url = {http://eudml.org/doc/17312},
volume = {025},
year = {1984},
}

TY - JOUR
AU - Leiderman, Arkady G.
AU - Sokolov, Genadij A.
TI - Adequate families of sets and Corson compacts
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1984
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 025
IS - 2
SP - 233
EP - 246
LA - eng
KW - Eberlein compact; Corson compact; bush; Lindelöf -space; adequate family
UR - http://eudml.org/doc/17312
ER -

References

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  1. A. B. APXAHГЕЛЬСКИЙ, Строенийе и классификация топологических пространств и кардинальные инварианты, Уцпехи Мат. Наук 33 (1978), Nо 6, 29-84. (1978) MR0526012
  2. C. П. ГУЛЬКО, О свойствах множеств, лежащих в Σ - произведениях, Докл. AH CCCP 237 (1977), 505-508. (1977) Zbl0993.46500MR0461410
  3. C. П. ГУЛЬКО, О структуре пространств непрерывных функций и их наследственной паракомпактности, Уcnexи мат. наук 34 (1979), No 6, 33-40. (1979) Zbl1171.30308MR0562814
  4. L. VAŠÁK, On one generalization of weakly compactly generated Banach spaces, Studia Math. 70 (1981), 11-19. (1981) MR0646957
  5. K. ALSTER R. POL, On function spaces of compact subspaces of Σ -products of the real line, Fund. Math. 107 (1980), 135-143. (1980) MR0584666
  6. R. POL, A function space C ( X ) which is weakly Lindelöf but not weakly compactly generated, Studia Math. 64 (1979), 279-285. (1979) Zbl0424.46011MR0544732
  7. M. TALAGRAND, Espaces de Banach faiblement κ -analytiques, Ann. Math. 110 (1979), 407-438. (1979) MR0554378
  8. M. TALAGRAND, Sur une conjecture de H. H. Corson, Bull. Soc. Math. 99 (1975), 211-212. (1975) MR0430752
  9. M. TALAGRAND, Espaces de Banach faiblement κ -analytiques, Comp. Rend. Acad. Sci. 284 (1977), 745-748. (1977) MR0435804
  10. Y. BENYAMINI T. STARBIRD, Embedding weakly compact sets into Hilbert space, Isr. J. Math. 23 (1976), 137-141. (1976) MR0397372
  11. M. BELL, The space of complete subgraphs of a graph, Comment. Math. Univ. Carolinae 23 (1982), 525-536. (1982) Zbl0507.54020MR0677860
  12. E. MILLER, A note on Souslin's problem, Amer. Journ. Math. 65 (1943), 673-678. (1943) Zbl0060.12701MR0009615
  13. M. E. RUDIN, Lectures on set theoretic topology, Reg. conf. ser. in math. No 23 (Providence, R. I. 1975). (1975) Zbl0318.54001MR0367886
  14. S. TODORČEVIČ, Stationary sets, trees and oontinuums, Publ. Inst. Math. 27 (1981), 249-262. (1981) MR0657114
  15. Ф. XAPAPИ, Teopя rpaфов, Mocква, "Мир", 1973. (1973) 

Citations in EuDML Documents

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  1. Witold Marciszewski, On sequential convergence in weakly compact subsets of Banach spaces
  2. Genadij A. Sokolov, On some classes of compact spaces lying in Σ -products
  3. Spiros A. Argyros, Sophocles Mercourakis, A note on the structure of WUR Banach spaces
  4. Santi Spadaro, A note on discrete sets
  5. Arkady G. Leiderman, Adequate families of sets and function spaces
  6. Marián J. Fabián, On coincidence of Pettis and McShane integrability
  7. Stevo Todorčević, The functor σ²X

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