On n -in-countable bases

S. A. Peregudov

Commentationes Mathematicae Universitatis Carolinae (2000)

  • Volume: 41, Issue: 1, page 175-178
  • ISSN: 0010-2628

Abstract

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Some results concerning spaces with countably weakly uniform bases are generalized for spaces with n -in-countable ones.

How to cite

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Peregudov, S. A.. "On $n$-in-countable bases." Commentationes Mathematicae Universitatis Carolinae 41.1 (2000): 175-178. <http://eudml.org/doc/248632>.

@article{Peregudov2000,
abstract = {Some results concerning spaces with countably weakly uniform bases are generalized for spaces with $n$-in-countable ones.},
author = {Peregudov, S. A.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {weakly uniform base; $n$-in-countable base; countably compact space; separable space; weakly uniform base; metrizability},
language = {eng},
number = {1},
pages = {175-178},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On $n$-in-countable bases},
url = {http://eudml.org/doc/248632},
volume = {41},
year = {2000},
}

TY - JOUR
AU - Peregudov, S. A.
TI - On $n$-in-countable bases
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2000
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 41
IS - 1
SP - 175
EP - 178
AB - Some results concerning spaces with countably weakly uniform bases are generalized for spaces with $n$-in-countable ones.
LA - eng
KW - weakly uniform base; $n$-in-countable base; countably compact space; separable space; weakly uniform base; metrizability
UR - http://eudml.org/doc/248632
ER -

References

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  1. Arhangel'skii A.V., Just W., Reznichenko E., Szeptyczki P.J., Sharp bases and weakly uniform bases versus point countable bases, to appear. 
  2. Balogh Z., Gruenhage G., Base multiplicity in compact and generalized compact spaces, to appear. Zbl0985.54022MR1847460
  3. Engelking R., General Topology, Warsaw, Heldermann Verlag, Berlin, 1989. Zbl0684.54001MR1039321
  4. Erdös P., Rado R., A partition calculus in set theory, Bull. Amer. Math. Soc. 62 (1956), 427-489. (1956) MR0081864
  5. Hewitt E., Rings of real-valued continuous functions,1, Trans. Amer. Math. Soc. 64 (1948), 45-99. (1948) MR0026239
  6. Peregudov S.A., Weakly uniform bases and the first axiom of countability (in Russian), Math. Zametki 3 (1986), 331-340. (1986) MR0869924
  7. Peregudov S.A., On metrizability in a class of topological spaces with a weakly uniform base (in Russian), Bull. Pol. Acad. Nauk 28 (1980), 609-612. (1980) MR0628650
  8. Ponomarev V.I., On metrizability of finally compact spaces with a point countable base (in Russian), Dokl. Akad. Nauk SSSR 174 (1967), 1274-1277. (1967) MR0216465
  9. Shapirovskii B.E., On separability and metrizability of spaces with Souslin condition (in Russian), Dokl. Akad. Nauk SSSR 207 (1972), 800-803. (1972) MR0322801

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