Transfinite sequences of continuous and Baire class 1 functions
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- by Márton Elekes and Kenneth Kunen PDF
- Proc. Amer. Math. Soc. 131 (2003), 2453-2457 Request permission
Abstract:
The set of continuous or Baire class 1 functions defined on a metric space $X$ is endowed with the natural pointwise partial order. We investigate how the possible lengths of well-ordered monotone sequences (with respect to this order) depend on the space $X$.References
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Additional Information
- Márton Elekes
- Affiliation: Department of Analysis, Eötvös Loránd University, Budapest, Pázmány Péter sétány 1/c, 1117, Hungary
- Email: emarci@cs.elte.hu
- Kenneth Kunen
- Affiliation: Department of Mathematics, University of Wisconsin, Madison, Wisconsin 53706
- MR Author ID: 107920
- Email: kunen@math.wisc.edu
- Received by editor(s): December 11, 2001
- Received by editor(s) in revised form: March 13, 2002
- Published electronically: November 13, 2002
- Additional Notes: The second author was partially supported by NSF Grant DMS-0097881
- Communicated by: Alan Dow
- © Copyright 2002 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 131 (2003), 2453-2457
- MSC (2000): Primary 26A21; Secondary 03E17, 54C30
- DOI: https://doi.org/10.1090/S0002-9939-02-06775-8
- MathSciNet review: 1974643