The measure algebra does not always embed

Fundamenta Mathematicae

Volumn 163, Issue 2, 2000, Pages 163-176

  Dow, Alan ^a   Hart, Klaas Pieter ^b  

^a YORK UNIVERSITY   (Canada)

^b DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

Embedding; Measure algebra; Open Colouring Axiom; Script P( ) fin

Indexed keywords

EID: 0000924713     PISSN: 00162736     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (19)

1. M. Bekkali, Topics in Set Theory, Lecture Notes in Math. 1476, Springer, Berlin, 1991.
2. M. G. Bell, Compact ccc nonseparable spaces of small weight, Topology Proc. 5 (1980), 11-25.
3. M. Burke, Liftings for Lebesgue measure, in: Set Theory of the Reals, H. Judah (ed.), Israel Math. Conf. Proc. 6, Amer. Math. Soc., Providence, RI, 1993, 119-150.
4. E. K. van Douwen, The integers and topology, in: Kunen and Vaughan [10], 111-167.
5. A. Dow and K. P. Hart, ω* has (almost) no continuous images, Israel J. Math. 109 (1999), 29-39.
6. I. Farah, Analytic ideals and their quotients, Ph.D. thesis, Univ. of Toronto, 1997.
7. R. Frankiewicz, Some remarks on embeddings of Boolean algebras and topological spaces, II, Fund. Math. 126 (1985), 63-68.
8. R. Frankiewicz and A. Gutek, Some remarks on embeddings of Boolean algebras and the topological spaces, I, Bull. Acad. Polon. Sci. Sér. Sci, Math. 29 (1981), 471-476.
9. W. Just, A weak version of AT from OCA, in: Set Theory of the Continuum, H. Judah, W. Just and H. Woodin (eds.), Math. Sci. Res. Inst. Publ. 26, Springer, Berlin, 1992, 281-291.
10. K. Kunen and J. E. Vaughan (eds.), Handbook of Set-Theoretic Topology, North-Holland, Amsterdam, 1984.
11. N. N. Luzin, On subset of the series of natural numbers, Izv. Akad. Nauk SSSR Ser. Mat. 11 (1947), 403-410 (in Russian).
12. J. van Mill, Weak P-points in Čech-Stone compactifications, Trans. Amer. Math. Soc. 273 (1982), 657-678.
13. _, An introduction to βω, in: Kunen and Vaughan [10], 503-568.
14. I. I. Parovičenko [I. I. Parovichenko], A universal bicompact of weight א, Soviet Math. Dokl. 4 (1963), 592-595; Russian original: Dokl. Akad. Nauk SSSR 150 (1963), 36-39.
15. I. I. Parovičenko [I. I. Parovichenko], A universal bicompact of weight א, Soviet Math. Dokl. 4 (1963), 592-595; Russian original: Dokl. Akad. Nauk SSSR 150 (1963), 36-39.
16. S. Shelah, Proper Forcing, Lecture Notes in Math. 940, Springer, Berlin, 1982.
17. _, Lifting problem for the measure algebra, Israel J. Math 45 (1983), 90-96.
18. _, Proper and Improper Forcing, Perspect. Math. Logic, Springer, Berlin, 1998.
19. S. Todorčevič, Partition Problems in Topology, Contemp. Math. 34, Amer. Math. Soc., Providence, RI, 1989.