Some Baire category type theorems for U ( ω 1 )

Andrzej Szymański

Commentationes Mathematicae Universitatis Carolinae (1979)

  • Volume: 020, Issue: 3, page 519-528
  • ISSN: 0010-2628

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Szymański, Andrzej. "Some Baire category type theorems for $U(\omega _1)$." Commentationes Mathematicae Universitatis Carolinae 020.3 (1979): 519-528. <http://eudml.org/doc/16990>.

@article{Szymański1979,
author = {Szymański, Andrzej},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Baire category; Martin's axiom; closed and nowhere dense subsets; uniform ultrafilter; scale},
language = {eng},
number = {3},
pages = {519-528},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Some Baire category type theorems for $U(\omega _1)$},
url = {http://eudml.org/doc/16990},
volume = {020},
year = {1979},
}

TY - JOUR
AU - Szymański, Andrzej
TI - Some Baire category type theorems for $U(\omega _1)$
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1979
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 020
IS - 3
SP - 519
EP - 528
LA - eng
KW - Baire category; Martin's axiom; closed and nowhere dense subsets; uniform ultrafilter; scale
UR - http://eudml.org/doc/16990
ER -

References

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  1. [BFJ B. BALCAR R. FRANKIEWICZ, To distinguish topologically the space m * .II, Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 26 (1978), 521-523. (1978) MR0511955
  2. B. BALCAR J. PELANT P. SIMON, The space of ultrafilters on N covered by nowhere dense sets, to appear in Fund. Math. MR0600576
  3. B. BALCAR P. VOPĚNKA, On systems of almost disjoint sets, Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 20 (1972), 421-424. (1972) MR0314618
  4. R. FRANKIEWICZ, To distinguish topologically the space m * , Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 25 (1977), 891-893. (1977) Zbl0372.54003MR0461444
  5. S. H. HECHLER, On the existence of certain cofinal subsets of ω ω , in: Axiomatic set theory, Proc. Symp. Pure Math. 13, II (T. Jech, ed.), 155-173. Amer. Math. Soc, Providence, Rhode Island, 1974. (1974) MR0360266
  6. D. A. MARTIN R. M. SOLOVAY, Internal Cohen extension, Ann. Math. Logic 2 (1970), 143-178. (1970) MR0270904
  7. A. KUCIA A. SZYMAŃSKI, Absolute points in / b e t a N - N , Czcechoslovak Math. Jour. 26 (1976), 381-387. (1976) MR0413046

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