Cardinalities and ranks of π -bases in topological spaces

Petr A. Biryukov

Commentationes Mathematicae Universitatis Carolinae (1980)

  • Volume: 021, Issue: 4, page 769-776
  • ISSN: 0010-2628

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Biryukov, Petr A.. "Cardinalities and ranks of $\pi $-bases in topological spaces." Commentationes Mathematicae Universitatis Carolinae 021.4 (1980): 769-776. <http://eudml.org/doc/17078>.

@article{Biryukov1980,
author = {Biryukov, Petr A.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {pi-base; pi-weight; P'-spaces; pi-base of rank 1; Stone-Cech remainder of the naturals; ZFC},
language = {eng},
number = {4},
pages = {769-776},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Cardinalities and ranks of $\pi $-bases in topological spaces},
url = {http://eudml.org/doc/17078},
volume = {021},
year = {1980},
}

TY - JOUR
AU - Biryukov, Petr A.
TI - Cardinalities and ranks of $\pi $-bases in topological spaces
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1980
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 021
IS - 4
SP - 769
EP - 776
LA - eng
KW - pi-base; pi-weight; P'-spaces; pi-base of rank 1; Stone-Cech remainder of the naturals; ZFC
UR - http://eudml.org/doc/17078
ER -

References

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  1. A. V. ARCHANGEL'SKIĭ V. V. FILIPPOV, Prostranstva s bazami konečnogo ranga, Mat. Sbornik 1972, 87 (129), No. 2, 147-158 (Spaces with bases of finite rank). (1972) MR0296881
  2. D. BOOTH, Ultrafilters on a countable set, Ann. Math. Logic 2 (1970), 1-24. (1970) Zbl0231.02067MR0277371
  3. E. BALCAR J. PELANT P. SIMON, The space of ultrafilters on N covered by nowhere dense sets, (to appear). 
  4. R. ENGELKING, General Topology, PWN, Warszawa 1977. (1977) Zbl0373.54002MR0500780
  5. N. J. FINE L. GILLMAN., Extension of continuous functions, In N. Bull. Amer. Math. Soc. 66 (1960), 376-382. (1960) Zbl0161.42203MR0123291
  6. G. GRUENHAGE P. NYIKOS, Spaces with bases of countable rank, Gen. Top. Appl. 8 (1978), No. 3. (1978) MR0494007
  7. I. JUHÁSZ, Cardinal functions in topology, Math. Centre Tracts 34, Amsterdam 1975. (1975) MR0340021
  8. V. I. PONOMAREV, Spaces co-absolute with metric spaces, Russian Math. Surveys 21 (1966), No. 4, 87-113. (1966) Zbl0169.54203MR0200902

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