Hostname: page-component-586b7cd67f-dsjbd Total loading time: 0 Render date: 2024-11-25T11:23:33.370Z Has data issue: false hasContentIssue false

m-Bounded Extensions of Topological Spaces

Published online by Cambridge University Press:  20 November 2018

J. H. Weston*
Affiliation:
University of Saskatchewan, Regina, Saskatchewan
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

An m-bounded extension of a topological space is an m-bounded space which contains the original as a dense subspace. m-bounded spaces have been studied by Gulden, Fleischman, and Weston [4], Saks and Stephenson [6], and Woods [8].

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1973

References

1. Franklin, S. P. and Rajagopalan, M., Some examples in topology, Trans. Amer. Math. Soc. 155 (1971), 305314.Google Scholar
2. Gillman, L. and Jerison, M., Rings of continuous functions, Van Nostrand, Princeton, N.J., 1960.Google Scholar
3. Glicksberg, I., Stone-Čech compactifications of products, Trans. Amer. Math. Soc. 90 (1959), 369382.Google Scholar
4. Gulden, S. L., Fleischman, W. M., and Weston, J. H., Linearly ordered topological spaces, Proc. Amer. Math. Soc. 24 (1970), 197203.Google Scholar
5. Kelley, J., General topology, Van Nostrand, Princeton, N.J., 1955.Google Scholar
6. Saks, V. and Stephenson, R. M., Products of m-compact spaces, Proc. Amer. Math. Soc. 28 ’1971), 279288.Google Scholar
7. Steiner, E. F., Wallman spaces and compactifications, Fund. Math. 61 (1968), 295304.Google Scholar
8. Woods, R. G., Some ℵ0-bounded subsets of Stone-Čech compactifications, Israel J. Math. 9 (1971), 250256.Google Scholar