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Non-constructive Galois-Tukey connections

  • Heike Mildenberger (a1)


There are inequalities between cardinal characteristics of the continuum that are true in any model of ZFC, but without a Borel morphism proving the inequality. We answer some questions from Blass [1].



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[1]Blass, A., Reductions between cardinal characteristics of the continuum, Contemporary Mathematics, vol. 192 (1996), pp. 3149.
[2]Fremlin, D., Cichoń's diagram, Séminaire initiation á l'analyse (Choquet, G., Rogalski, M., and Raymond, J. Saint, editors), Université Pierre et Marie Curie, 1983/1984, 501 – 5-13.
[3]Kuratowski, K., Topology, vol. 1, Academic Press, 1966.
[4]Moschovakis, Y., Descriptive set theory, North-Holland, 1980.
[5]Oxtoby, J., Measure and category, 2nd ed., Springer-Verlag, 1980.
[6]Vojtáš, P., Generalized Galois-Tukey connections between explicit relations on classical objects of real analysis, Set theory of the reals (Judah, H., editor), Israel Mathematical Conference Proceedings, vol. 6, American Mathematical Society, 1993, pp. 619643.
[7]Talagrand, M., Compacts de fonctions mesurables etfiltres non mesurables, Studia Mathematica, vol. 67 (1980), pp. 1343.
[8]Yipariki, O., On some tree partitions, Ph.D. thesis, University of Michigan, 1994.

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Non-constructive Galois-Tukey connections

  • Heike Mildenberger (a1)


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