Topological spaces with a selected subset-cardinal invariants and inequalities

Anatoly A. Gryzlov; Dimitrina N. Stavrova

Commentationes Mathematicae Universitatis Carolinae (1994)

  • Volume: 35, Issue: 3, page 525-531
  • ISSN: 0010-2628

Abstract

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Cardinal functions for topological spaces in which a subset is selected in a certain way are defined and studied. Most of the main cardinal inequalities are generalized for such spaces.

How to cite

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Gryzlov, Anatoly A., and Stavrova, Dimitrina N.. "Topological spaces with a selected subset-cardinal invariants and inequalities." Commentationes Mathematicae Universitatis Carolinae 35.3 (1994): 525-531. <http://eudml.org/doc/247585>.

@article{Gryzlov1994,
abstract = {Cardinal functions for topological spaces in which a subset is selected in a certain way are defined and studied. Most of the main cardinal inequalities are generalized for such spaces.},
author = {Gryzlov, Anatoly A., Stavrova, Dimitrina N.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Lindelöf number; cellularity; cardinal invariants with respect to a subset; Lindelöf number; cellularity; cardinal invariants with respect to a subset; cardinal inequalities},
language = {eng},
number = {3},
pages = {525-531},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Topological spaces with a selected subset-cardinal invariants and inequalities},
url = {http://eudml.org/doc/247585},
volume = {35},
year = {1994},
}

TY - JOUR
AU - Gryzlov, Anatoly A.
AU - Stavrova, Dimitrina N.
TI - Topological spaces with a selected subset-cardinal invariants and inequalities
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1994
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 35
IS - 3
SP - 525
EP - 531
AB - Cardinal functions for topological spaces in which a subset is selected in a certain way are defined and studied. Most of the main cardinal inequalities are generalized for such spaces.
LA - eng
KW - Lindelöf number; cellularity; cardinal invariants with respect to a subset; Lindelöf number; cellularity; cardinal invariants with respect to a subset; cardinal inequalities
UR - http://eudml.org/doc/247585
ER -

References

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  1. Archangel'skii A.V., On the cardinality of bicompacta satisfying the first axiom of countability, Soviet Math. Dokl. 10 (1969), 951-955. (1969) 
  2. Archangel'skii A.V., A theorem about cardinality, Uspehi Matem. Nauk 34 (1979), 177-178. (1979) MR0548421
  3. Archangel'skii A.V., M.M. Genedi Hamdi, The position of subspaces in a topological space: relative compactness, Lindelöfness and axioms of separation, Vestnik Moskovskogo Universiteta, ser I., vol. 6, 1989, 67-69. 
  4. Bell M., Ginsburgh J., Woods G., Cardinal inequalities for topological spaces involving the weak Lindelöf number, Pacific J. Math. 79 (1978), 37-45. (1978) MR0526665
  5. Engelking R., General Topology, Warszawa, 1976. Zbl0684.54001
  6. Hajnal A., Juhasz I., Discrete Subspaces of Topological Spaces I & II, Pc. Koninkl. Nederl. Akad. Wet., Ser. A, 70 (1967), 343-356; 72 (1969), 18-30. MR0264585
  7. Juhasz I., Cardinal Functions in Topology - Ten Years Later, Math. Centre Tracts 123, Amsterdam, 1980. Zbl0479.54001MR0576927
  8. Liu Xiao Shi, Two cardinal functions of topological spaces and improvements of some famous cardinal inequalities, Acta Math. Sinica 29 (1986), 494-497. (1986) MR0867698
  9. Sun Shu-Hao, A note on Archangel'skii's inequality, J. Math. Soc. Japan 39 (1987), 363-365. (1987) MR0900974
  10. Stavrova D.N., A New Inequality for the Cardinality of topological Spaces, Proc. of the XX-th Conf. of the UBM, 1991. 

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