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Towers of Borel functions
Author(s):
James
Hirschorn
Journal:
Proc. Amer. Math. Soc.
128
(2000),
599-604.
MSC (1991):
Primary 03E10;
Secondary 03E40, 28A20
Posted:
July 7, 1999
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Abstract:
We give mathematical reformulations of the cardinals and in terms of families of Borel functions. As an application we show that is invariant under the addition of a single Cohen real.
References:
- 1.
- M. Bell, On the combinatorial principle
, Fund. Math. 114 (1981), no. 2, 149-157. MR 83e:03077 - 2.
- E. K. van Douwen, The integers and topology, Handbook of set-theoretic topology (K. Kunen and J. E. Vaughan, eds.) North-Holland, Amsterdam-New York, 1984, p. 116. MR 87f:54008
- 3.
- I. Farah and S. Todor\v{c}evi\'{c}, Some applications of the method of forcing, Yenisey Publ. Co., Moscow, 1995, p. 12. CMP 98:05
- 4.
- Z. Piotrowski and A. Szyma\'{n}ski, Some remarks on category in topological spaces, Proc. Amer. Math. Soc. 101 (1987), no. 1, 156-160. MR 88g:54007
- 5.
- J. Roitman, Correction to: ``Adding a random or a Cohen real: topological consequences and the effect on Martin's axiom'', Fund. Math. 129 (1988), no. 2, 141. MR 89f:03045
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Additional Information:
James
Hirschorn
Affiliation:
Department of Mathematics, University of Toronto, Toronto, Canada
Email:
hirschor@math.toronto.edu
DOI:
10.1090/S0002-9939-99-05013-3
PII:
S 0002-9939(99)05013-3
Received by editor(s):
January 5, 1998
Received by editor(s) in revised form:
March 30, 1998
Posted:
July 7, 1999
Communicated by:
Alan Dow
Copyright of article:
Copyright
1999,
American Mathematical Society
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