Ultrafilter with ℵ 0 predecessors in Rudin-Frolík order

Lev Bukovský; Eva Butkovičová

Commentationes Mathematicae Universitatis Carolinae (1981)

  • Volume: 022, Issue: 3, page 429-447
  • ISSN: 0010-2628

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Bukovský, Lev, and Butkovičová, Eva. "Ultrafilter with $\aleph _0$ predecessors in Rudin-Frolík order." Commentationes Mathematicae Universitatis Carolinae 022.3 (1981): 429-447. <http://eudml.org/doc/17120>.

@article{Bukovský1981,
author = {Bukovský, Lev, Butkovičová, Eva},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {ultrafilter; type of ultrafilter; character of a filter; P-point; countably infinite discrete space; Stone-Cech remainder; RudinFrolik order; Stone extension; ZFC; local weight; order},
language = {eng},
number = {3},
pages = {429-447},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Ultrafilter with $\aleph _0$ predecessors in Rudin-Frolík order},
url = {http://eudml.org/doc/17120},
volume = {022},
year = {1981},
}

TY - JOUR
AU - Bukovský, Lev
AU - Butkovičová, Eva
TI - Ultrafilter with $\aleph _0$ predecessors in Rudin-Frolík order
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1981
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 022
IS - 3
SP - 429
EP - 447
LA - eng
KW - ultrafilter; type of ultrafilter; character of a filter; P-point; countably infinite discrete space; Stone-Cech remainder; RudinFrolik order; Stone extension; ZFC; local weight; order
UR - http://eudml.org/doc/17120
ER -

References

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  1. J. E. BAUMGARTNER R. LAVER, Iterated perfect set forcing, preprint. MR0556894
  2. D. BOOTH, Ultrafilters on a countable set, Ann. Math. Logic, 2 (1970), 1-24. (1970) Zbl0231.02067MR0277371
  3. W. W. COMFORT S. NEGREPONTIS, The theory of ultrafilters, Springer Verlag 1974. (1974) MR0396267
  4. Z. FROLÍlK, Sums of ultrafilters, Bull. Amer. Math. Soc. 73 (1967), 87-91. (1967) MR0203676
  5. K. KUNEN, Ultrafilters and independent sets, Trans. Amer. Math. Soc. 172 (1972), 299-306. (1972) MR0314619
  6. K. KUNEN, Weak P -points in 𝐍 * , preprint. MR0588822
  7. A. LOUVEAU, Ultrafiltres sur 𝐍 , et derivation séquentielle, Bull. Sci. Math. 96 (1972), 353-382. (1972) MR0348695
  8. D. A. MARTIN R. M. SOLOVAY, Internal Cohen extensitns, Ann. Math. Logic 2 (1970), 143-178. (1970) MR0270904
  9. B. POSPÍŠIL, On bicompact spaces, Publ. Fac. Sci. Univ. Masaryk, 270 (1939), 3-16. (1939) MR0001454
  10. M. E. RUDIN, Partial orders on the types in β N , Trans. Amer. Math. Soc. 155 (1971), 353-362. (1971) Zbl0212.54901MR0273581
  11. M. E. RUDIN, Lectures on set theoretic topology, CMBS regional conference Series, No. 23, Providence 1975. (1975) Zbl0318.54001MR0367886
  12. R. C. SOLOMON, A type of β N with ℵ 0 relative types, Fund. Math. 79 (1973), 209-212. (1973) MR0319748
  13. A. K. STEINER E. F. STEINER, Relative types of points in β N - N , Trans. Amer. Math. Soc. 159 (1971), 279-286. (1971) MR0336708

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