Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 
 

 

Towers of Borel functions


Author: James Hirschorn
Journal: Proc. Amer. Math. Soc. 128 (2000), 599-604
MSC (1991): Primary 03E10; Secondary 03E40, 28A20
DOI: https://doi.org/10.1090/S0002-9939-99-05013-3
Published electronically: July 7, 1999
MathSciNet review: 1621933
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: We give mathematical reformulations of the cardinals $\mathfrak p$ and $\mathfrak t$ in terms of families of Borel functions. As an application we show that $\mathfrak t$ is invariant under the addition of a single Cohen real.


References [Enhancements On Off] (What's this?)

  • 1. M. Bell, On the combinatorial principle $P(\mathfrak{c})$, 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

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 03E10, 03E40, 28A20

Retrieve articles in all journals with MSC (1991): 03E10, 03E40, 28A20


Additional Information

James Hirschorn
Affiliation: Department of Mathematics, University of Toronto, Toronto, Canada
Email: hirschor@math.toronto.edu

DOI: https://doi.org/10.1090/S0002-9939-99-05013-3
Received by editor(s): January 5, 1998
Received by editor(s) in revised form: March 30, 1998
Published electronically: July 7, 1999
Communicated by: Alan Dow
Article copyright: © Copyright 1999 American Mathematical Society

American Mathematical Society