When is |C(X x Y)| = |C(X)||C(Y)|?

Authors

O. T. Alas, University of Sao Paulo
W. W. Comfort, Wesleyan University
S. Garcia-Ferreira, Universidad Nacional Autónoma de México
Melvin Henriksen, Harvey Mudd CollegeFollow
R. G. Wilson, Universidad Autónoma Metropolitana
R. G. Woods, University of Manitoba

Document Type

Article

Department

Mathematics (HMC)

Publication Date

2000

Abstract

Sufficient conditions on the Tychonoff spaces X and Y are found that imply that the equation in the title holds. Sufficient conditions on the Tychonoff space X are found that ensure that the equation holds for every Tychonoff space Y . A series of examples (some using rather sophisticated cardinal arithmetic) are given that witness that these results cannot be generalized much.

Comments

Previously linked to as: http://ccdl.libraries.claremont.edu/u?/irw,431.

Published in the Houston Journal of Mathematics of the University of Houston.

This article is also available at http://www.math.uh.edu/~hjm/Vol26-1.html.

Rights Information

© 2000 Houston Journal of Mathematics

Terms of Use & License Information

Terms of Use for work posted in Scholarship@Claremont.

Recommended Citation

Alas, O. T., W. W. Comfort, S. Garcia-Ferreira, M. Henriksen, R. G. Wilson, and R. G. Woods. “When is |C(X x Y)| = |C(X)||C(Y)|?” Houston Journal of Mathematics 26.1 (2000): 83–115.