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Dualization of the van Douwen diagram

Published online by Cambridge University Press:  12 March 2014

Jacek Cichoń ,
Adam Krawczyk ,
Barbara Majcher-Iwanow  and
Bogdan Wȩglorz
Jacek Cichoń
Affiliation:
Mathematical Institute, University of Wrocław, Pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland, E-mail: [email protected]
Adam Krawczyk
Affiliation:
Mathematical Institute, University of Warsaw, 00-901 Warsaw, Poland, E-mail: [email protected]
Barbara Majcher-Iwanow
Affiliation:
Mathematical Institute, University of Wrocław, Pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland, E-mail: [email protected]
Bogdan Wȩglorz
Affiliation:
Mathematical Institute, University of Wrocław, Pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland Institute of Phisics, University of Opole, Oleska 48, 45-052 Opole, Poland, E-mail: [email protected]
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Abstract

We make a more systematic study of the van Douwen diagram for cardinal coefficients related to combinatorial properties of partitions of natural numbers.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 65 , Issue 2 , June 2000 , pp. 959 - 968
Copyright
Copyright © Association for Symbolic Logic 2000

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References

REFERENCES

[1]Brendle, J., Martin's Axiom and the dual distributivity number, preprint, 1998.Google Scholar
[2]Carlson, T.J. and Simpson, S.G., A dual form of Ramsey's theorem, Advances in Mathematics, vol. 53 (1984), pp. 265–290.CrossRefGoogle Scholar
[3]Cichoń, J., Majcher, B., and Wȩglorz, B., Dualizations of van Douwen diagram, Acta Universitatis Carohnae Math, et Phis., vol. 33 (1992), pp. 27–29.Google Scholar
[4]Halbeisen, L., On shattering, splitting and reaping partitions, Mathematical Logic Quarterly, vol. 44 (1998), pp. 123–134.CrossRefGoogle Scholar
[5]Kamburelis, A. and Wȩglorz, B., Splittings, Archive for Mathematical Logic, vol. 35 (1996), pp. 263–277.CrossRefGoogle Scholar
[6]Kunen, K., Set theory. An introduction to independence proofs, North-Holland, Amsterdam, 1980.Google Scholar
[7]Majcher, B., Orthogonal partitions, Acta Universitatis Carolinae Math, et Phis., vol. 31 (1990), pp. 59–63.Google Scholar
[8]Matet, P., Partitions and filters, this Journal, vol. 51 (1986), pp. 12–21.Google Scholar
[9]Shelah, S., Proper forcing, Springer-Verlag, New York, 1982.CrossRefGoogle Scholar
[10]Spinas, O., Partition numbers, Annals of Pure and Applied Logic, vol. 90 (1997), pp. 243–262.CrossRefGoogle Scholar
[11]van Douwen, E.K., The integers and topology, Handbook of set-theoretic topology (Kunen, K. and Vaughan, J., editors), North-Holland, Amsterdam, 1984, pp. 111–167.CrossRefGoogle Scholar
[12]Vaughan, J., Small uncountable cardinals and topology, Open problems in topology (van Mill, Jan and Reed, G., editors), Elsevier, 1990.Google Scholar