Products of images

Authors:
M. Bell, L. Shapiro and P. Simon

Journal:
Proc. Amer. Math. Soc. **124** (1996), 1593-1599

MSC (1991):
Primary 54D30, 06E05; Secondary 54B10, 54D40

MathSciNet review:
1328339

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Abstract | References | Similar Articles | Additional Information

Abstract: Let be the \u{C}ech-Stone remainder . We show that there exists a large class of images of such that whenever is a subset of of cardinality at most the continuum, then is again an image of . The class contains all separable compact spaces, all compact spaces of weight at most and all perfectly normal compact spaces.

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Additional Information

**M. Bell**

Affiliation:
Department of Mathematics, University of Manitoba, Fort Garry Campus, Winnipeg, Canada R3T 2N2

Email:
mbell@cc.umanitoba.ca

**L. Shapiro**

Affiliation:
Department of Mathematics, Academy of Labor and Social Relations, Lobachevskogo 90, Moscow, Russia 117454

Email:
lshapiro@glas.apc.org

**P. Simon**

Affiliation:
Matematick\a’y \a’Ustav, University Karlovy, Sokolovsk\a’a 83, 18600 Praha 8, Czech Republic

Email:
psimon@ms.mff.cuni.cz

DOI:
https://doi.org/10.1090/S0002-9939-96-03385-0

Keywords:
$\omega^*$ image,
product space,
compact

Received by editor(s):
October 20, 1994

Additional Notes:
The first author gratefully acknowledges support from NSERC of Canada. The second author collaborated while visiting the University of Manitoba, Canada and also thanks the International Science Foundation for support. The third author gratefully acknowledges support by Charles University grant GAUK 350. We would like to thank A. Dow for helpful communications; in particular, for showing us his proof that $𝜔_{1} + 1$ is an orthogonal $𝜔^{*}$ image.

Communicated by:
Franklin D. Tall

Article copyright:
© Copyright 1996
American Mathematical Society