Ramsey Theorems and the Property of Baire

Bernd Voigt

Publications du Département de mathématiques (Lyon) (1985)

  • Volume: 2/B, Issue: 2B, page 109-115
  • ISSN: 0076-1656

How to cite


Voigt, Bernd. "Ramsey Theorems and the Property of Baire." Publications du Département de mathématiques (Lyon) 2/B.2B (1985): 109-115. <http://eudml.org/doc/274261>.

author = {Voigt, Bernd},
journal = {Publications du Département de mathématiques (Lyon)},
keywords = {infinite partition theorems; ZF; Ramsey theorems; Baire-like properties},
language = {eng},
number = {2B},
pages = {109-115},
publisher = {Université Claude Bernard - Lyon 1},
title = {Ramsey Theorems and the Property of Baire},
url = {http://eudml.org/doc/274261},
volume = {2/B},
year = {1985},

AU - Voigt, Bernd
TI - Ramsey Theorems and the Property of Baire
JO - Publications du Département de mathématiques (Lyon)
PY - 1985
PB - Université Claude Bernard - Lyon 1
VL - 2/B
IS - 2B
SP - 109
EP - 115
LA - eng
KW - infinite partition theorems; ZF; Ramsey theorems; Baire-like properties
UR - http://eudml.org/doc/274261
ER -


  1. [Car xx] Carlson, T.J., in preparation, cf., [CS 84]. 
  2. [Car yy] Carlson, T.J., An infinitary version of the Graham-Leeb-Rothschild theorem, to appear in JCT(A). Zbl0663.05006MR871386
  3. [CS 84] Carlson, T.J., Simpson, S.G., A dual form of Ramsey's theorem, Advances in Mathematics, 53, 1984, 265-290. Zbl0564.05005MR753869
  4. [ELL 74] Ellentuck, E., A new proof that analytic sets are Ramsey, J. Symbolical Logic, 39 (1974), 163-165. Zbl0292.02054MR349393
  5. [ER 75] Erdos, P., Problems and Results in Combinatorial Number Theory, Asterisque, Soc. Math. de France24-25 (1975), 295-310. Zbl0562.10029MR374075
  6. [ER 50] Erdos, P., Rado, R., A combinatorial theorem, J. London Math. Soc.25 (1950), 249-255. Zbl0038.15301MR37886
  7. [GP 73] Galvin, F. Prikry, K., Borel Sets and Ramsey's Theorem, The Journal of Symbolic Logic, Volume 38, 1973, 193-198. Zbl0276.04003MR337630
  8. [Mil 75] Milliken, K., Ramsey's theorem with sums or unions, J. Comb. Th. A, 18 (1975), 276-290. Zbl0323.05001MR373906
  9. [PSV 84] Promel, H.J., Simpson, S.G., Voigt, B., A dual form of Erdös-Rado's canonization theorem, preprint, Bielefeld1984, 30 p. Zbl0603.05003MR847547
  10. [PV xx] Promel, H.J., Voigt, B., Baire sets of k-parapeter words are Ramsey, to appear in Trans. Amer. Math. Soc. Zbl0577.05008MR797054
  11. [PV yy] Promel, H.J., Voigt, B., Canonical forms of Borel-measurable mappings Δ : [ ω ] ω , to appear in J. Combin, Th. (A). Zbl0645.05013MR814423
  12. [PR 82] Pudlak, P., Rodl, V., Partition theorems for systems of finite subsets of integers, Disc. Math.39 (1982), 67-73. Zbl0486.05006MR677888
  13. [Rai 84] Raisonner, J., A mathematical proof of S. Shelah's theorem on the measure problem and related results, Isräel J. of Math.48 (1984), 48-56. Zbl0596.03056MR768265
  14. [VOI 84] Voigt, B., Ellentuck type theorems, preprint, Bielefelf 1984, 26 p. 

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