A generalization of Kelley’s theorem for $C$-spaces
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- by Michael Levin and James T. Rogers Jr. PDF
- Proc. Amer. Math. Soc. 128 (2000), 1537-1541 Request permission
Abstract:
We prove that if an open map $f:X \longrightarrow Y$ of compacta $X$ and $Y$ has perfect fibers and $Y$ is a $C$-space, then there exists a $0$-dimensional compact subset of $X$ intersecting each fiber of $f$. This is a stronger version of a well-known theorem of Kelley. Applications of this result and related topics are discussed.References
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Additional Information
- Michael Levin
- Affiliation: Department of Mathematics, Tulane University, New Orleans, Louisiana 70118-5698
- Email: levin@mozart.math.tulane.edu
- James T. Rogers Jr.
- Affiliation: Department of Mathematics, Tulane University, New Orleans, Louisiana 70118-5698
- Email: jim@math.tulane.edu
- Received by editor(s): March 31, 1998
- Received by editor(s) in revised form: July 1, 1998
- Published electronically: October 5, 1999
- Communicated by: Alan Dow
- © Copyright 2000 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 128 (2000), 1537-1541
- MSC (1991): Primary 54F45, 54F15
- DOI: https://doi.org/10.1090/S0002-9939-99-05158-8
- MathSciNet review: 1641136