Partial discretization of topologies

M. Bonanzinga; F. Cammaroto; M. V. Matveev

Bollettino dell'Unione Matematica Italiana (2000)

  • Volume: 3-B, Issue: 2, page 485-503
  • ISSN: 0392-4041

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Bonanzinga, M., Cammaroto, F., and Matveev, M. V.. "Partial discretization of topologies." Bollettino dell'Unione Matematica Italiana 3-B.2 (2000): 485-503. <http://eudml.org/doc/195613>.

@article{Bonanzinga2000,
author = {Bonanzinga, M., Cammaroto, F., Matveev, M. V.},
journal = {Bollettino dell'Unione Matematica Italiana},
keywords = {partial -discretization; Hausdorff; almost regular; star-compact; weakly Lindelöf; -closed; semiregular; countably compact; feebly compact; pseudocompact; almost Lindelöf; nearly Lindelöf},
language = {eng},
month = {6},
number = {2},
pages = {485-503},
publisher = {Unione Matematica Italiana},
title = {Partial discretization of topologies},
url = {http://eudml.org/doc/195613},
volume = {3-B},
year = {2000},
}

TY - JOUR
AU - Bonanzinga, M.
AU - Cammaroto, F.
AU - Matveev, M. V.
TI - Partial discretization of topologies
JO - Bollettino dell'Unione Matematica Italiana
DA - 2000/6//
PB - Unione Matematica Italiana
VL - 3-B
IS - 2
SP - 485
EP - 503
LA - eng
KW - partial -discretization; Hausdorff; almost regular; star-compact; weakly Lindelöf; -closed; semiregular; countably compact; feebly compact; pseudocompact; almost Lindelöf; nearly Lindelöf
UR - http://eudml.org/doc/195613
ER -

References

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  1. BALASUBRAMANIAN, G., On some generalization of compact space, Glasnik Mat., 17 (37) (1982), 367-380. Zbl0514.54015MR692509
  2. BERNER, A. J., Spaces without dense conditionally compact subsspaces, Proc. Amer. Math. Soc., 81 (1979), 187-192. Zbl0471.54008MR589156
  3. BONANZINGA, M., Preservation and reflection of acc and hacc spaces, Comment. Math. Univ. Carol., 37, No. 1 (1996), 147-153. Zbl0917.54027MR1396166
  4. BONANZINGA, M., On the product of a compact space with a hereditarily absolutely countably compact space, Comment. Math. Univ. Carol., 38,3 (1997), 557-562. Zbl0937.54013MR1485076
  5. BONANZINGA, M., Star-Lindelöf and absolutely star-Lindelöf spaces, Questions and Answers in Gen. Topol., 16, No. 2 (1998). Zbl0931.54019MR1642032
  6. BONANZINGA, M.- MATVEEV, M. V., Centered-Lindelöfness versus star-Lindelöfness, to appear in Comment. Math. Univ. Carol. Zbl1037.54502MR1756931
  7. CAMMAROTO, F.- SANTORO, G., Some counterexamples and properties on generalizations of Lindelöf spaces, Internat. J. Math. and Math. Sci., 19 (1996), No. 4, 737-746. Zbl0860.54033MR1397840
  8. VAN DOUWEN, E. K.- REED, G. M.- ROSCOE, A. W.- TREE, I. J., Star covering properties, Topol. and Appl., 39 (1991), 71-103. Zbl0743.54007MR1103993
  9. FROLIK, Z., Generalizations of compact and Lindelöf spaces, Czechoslovak Math. J., 9 (84) (1959), 172-217 (in Russian). Zbl0098.14201MR105075
  10. ENGELKING, R., General Topology, Warszawa (1977). Zbl0373.54002MR500780
  11. GINSBURG, J.- SAKS, A., Some applications of ultrafilters in topology, Pacific J. Math., 57 (1975), 403-418. Zbl0288.54020MR380736
  12. MALYKHIN, V. I., Everywhere dense subspaces of topological spaces, General Topology, Moscow State Univ. Publ., Moscow (1986), 65-76. MR1080759
  13. MATVEEV, M. V., On everywhere dense zero dimensional subspaces of topological spaces, Vestnik MGU, (1981), No. 4, 36-39. Zbl0466.54019MR631506
  14. MATVEEV, M. V., Inverse compactness, Topol. and Appl., 62 (1995), 181-191. Zbl0837.54013MR1320251
  15. MATVEEV, M. V., Absolutely countably compact spaces, Topol. and Appl., 58 (1994), 81-92. Zbl0801.54021MR1280711
  16. MATVEEV, M. V., A countably compact topological group which is not absolutely countably compact, Questions and Answers in Gen. Topol., 11 (1993), 173-176. Zbl0808.54025MR1234212
  17. MATVEEV, M. V., Closed embeddings into pseudocompact spaces, Mat. Zametki, 41 (1984), 377-394 (in Russian; English translation in: Math. Notes). Zbl0629.54008
  18. MATVEEV, M. V., Some questions on property (a), Questions and Answers in Gen. Topol., 15 (1997), 103-111. Zbl1002.54016MR1472172
  19. VAN MILL, J.- VAUGHAN, J. E., Is ω * - u absolutely countably compact?, Ann. New York Akad. Sci., 767 (1995), 161-164. Zbl0918.54021MR1462391
  20. PORTER, J. R.- WOODS, R. G., Extensions and Absolutes of Hausdorff Spaces, Springer-Verlag (1988). Zbl0652.54016MR918341
  21. REZNICHENKO, E. A., A pseudocompact space in which only sets of full cardinality are not closed and not discrete, Vestnik MGU Ser. 1 (1989), No. 6, 69-71 (in Russian; English translation in: Moscow Univ. Math. Bull). Zbl0725.54018
  22. ROITMAN, J., Basic S - and L -spaces, Handbook of Set-Theoretic Topology, K. Kunen and J. E. Vaughan Eds., Elsevier Sci. Pub. (1984), 295-326. Zbl0594.54001MR776626
  23. RUDIN, M. E.- STARES, I. S.- VAUGHAN, J. E., From countable compactness to absolute countable compactness, to appear in Proc. A.M.S. Zbl0984.54027MR1415367
  24. SHAKHMATOV, D. B., A pseudocompact Tychonoff space all countable subsets of which are closed and C * -embedded, Topol. and Appl., 22 (1986), 139-144. Zbl0586.54020MR836321
  25. STEPHENSON, R. M. JR., Moore-closed and first-countable feebly compact extension spaces, Topol. and Appl., 27 (1987), 11-28. Zbl0633.54012MR910491
  26. SYNGAL, M. K.- ARAYA, S. P., On almost regular spaces, Glasnik Mat., 4(24) (1969), 89-99. Zbl0169.24902
  27. VAUGHAN, J. E., A countably compact separable space which is not absolutely countably compact, Comment. Mat. Univ. Carol., 36:1 (1995), 197-201. Zbl0833.54012MR1334426
  28. WILLARD, S.- DISSANAYAKE, U. N. B., The almost Lindelöf degree, Canad. Math. Bull., 27 (4) (1984), 36-41. Zbl0551.54003MR763044

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