Abstract
We investigate some notions of splitting families and estimate sizes of the corresponding cardinal coefficients. In particular we solve a problem of P. Simon.
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Baumgartner J.E., Dordal, P.: Adjoining dominating functions. J. Symb. Logic 50, 94–101 (1985)
Blass, A., Shelah, S.: There may be simple \(P_{\aleph _1 } \) and \(P_{\aleph _2 } \) points and the Rudin-Keisler ordering may be downward directed. Ann. Pure Appl. Logic 33, 213–243 (1987)
Cichoń, J.: Anti Martin’s Axiom (handwritten notes by B. Węglorz). Wroclaw Seminar on Infinitary Combinatorics (1984)
Cichoń, J., Majcher, B., W’glorz, B.: Dualization of van Douven diagram. Acta Univ. Carolinae, Math. Phys. 33, 27–29 (1992)
van Douwen, E.K.: The integers and topology. In: Kunen K., Vaughan, J. (eds.) Handbook of Set Theoretic Topology, pp. 111–168. Amsterdam: North-Holland 1984
van Douwen, E.K., Fleissner, W.G.: Definable forcing axiom: an alternative to Martin’s axiom. Topol. Appl. 35, 277–289 (1990)
Fremlin, D.H.: Cichoń’s diagram. Sem. Init. Anal., Univ. Pierre et Marie Curie 23 (1984)
Jech, T.: Set theory. New York: Academic Press 1978
Kunen, K.: Set theory. Amsterdam: North-Holland 1980
Malyhin, V.I.: Topological properties of Cohen generic extension. Trans. Moscow Math. Soc. 52, 1–32 (1990)
Matet, P.: Partitions and filters. J. Symb. Logic 51, 12–21 (1986)
Rosłanowski, A., Shelah, S.: Simple forcing notions and forcing axioms. Preprint
Steprāns, J.: Combinatorial consequences of adding Cohen reals. Israel Math. Conf. Proc. 6, 583–617 (1993)
Vaughan, J.E.: Small uncountable cardinals and topology. In: van Mill, J., Reed, G.M. (eds.) Open Problems in Topology, pp. 195–218. Amsterdam: North-Holland 1990
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Supported by KBN grant 2 P03A 011 09
Supported by KBN grant 2 1017 91 01