On collections of almost disjoint families

Bohuslav Balcar; Petr Simon

Commentationes Mathematicae Universitatis Carolinae (1988)

  • Volume: 029, Issue: 4, page 631-646
  • ISSN: 0010-2628

How to cite

top

Balcar, Bohuslav, and Simon, Petr. "On collections of almost disjoint families." Commentationes Mathematicae Universitatis Carolinae 029.4 (1988): 631-646. <http://eudml.org/doc/17675>.

@article{Balcar1988,
author = {Balcar, Bohuslav, Simon, Petr},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {almost disjoint family; distributivity of Boolean algebras; completion of Boolean algebra},
language = {eng},
number = {4},
pages = {631-646},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On collections of almost disjoint families},
url = {http://eudml.org/doc/17675},
volume = {029},
year = {1988},
}

TY - JOUR
AU - Balcar, Bohuslav
AU - Simon, Petr
TI - On collections of almost disjoint families
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1988
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 029
IS - 4
SP - 631
EP - 646
LA - eng
KW - almost disjoint family; distributivity of Boolean algebras; completion of Boolean algebra
UR - http://eudml.org/doc/17675
ER -

References

top
  1. J. E. BAUMGARTNER, Almost-disjoint sets, the dense set problem, and the partition calculus, Ann. Math. Logic 10 (1976), 401-439. (1976) Zbl0339.04003MR0401472
  2. B. BALCAR F. FRANĚK, Completion of factor algebras of ideals, Proc. Amer. Math. Soc. 100, 2 (1987), 205-212. (1987) MR0884452
  3. B. BALCAR J. PELANT P. SIMON, The space of ultrafilters on N covered by nowhere dense sets, Fund. Math. 110 (1980), 11-24. (1980) MR0600576
  4. B. BALCAR P. SIMON, Disjoint refinement, Handbook of Boolean Algebras, North-Holland (to appear). MR0991597
  5. B. BALCAR P. SIMON P. VOJTÁŠ, Refinement properties and extension of filters in Boolean algebras, Trans. Amer. Math. Soc. 267 (1981), 265-283. (1981) MR0621987
  6. B. BALCAR P. VOPĚNKA, On systems of almost disjoint sets, Bull. Acad. Polon. Sci., Ser. Sci. Math. 20 (1972), 421-424. (1972) MR0314618
  7. W. A. COMFORT S. NEGREPONTIS, The Theory of Ultrafilters, Springer- Verlag, New York - Heidelberg - Berlin, 1974. (1974) MR0396267
  8. P. ERDOS S. H. HECHLER, On maximal almost-disjoint families over singular cardinals, Infinite and finite sets, Colloq. Math. Soc. Janos Bolyai (North-Holland, Amsterdam), 40 (1975), 597-604. (1975) MR0376354
  9. P. ERDOS A. TARSKI, On families of mutually exclusive sets, Ann. of Math. 44 (1943), 315-329. (1943) MR0008249
  10. G. FODOR, On stationary sets and regressive functions, Acta Sci. Math. (Szeged), 27 (1966), 105-110. (1966) Zbl0199.02102MR0200167
  11. T. JECH, Set Theory, Academic Press, New York 1978. (1978) Zbl0419.03028MR0506523
  12. K. KUNEN, Set Theory, an introduction to independence proofs, North Holland, Amsterdam, 1980. (1980) Zbl0443.03021MR0597342
  13. R. M. SOLOVAY, Real-valued measurable cardinals, Axiomatic Set Theory, Proc. Symp. in Pure Math. Amer Math. Soc. 13 (1971), Part I, 397-428. (1971) MR0290961

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.