No CrossRef data available.
Article contents
A Compactification with θ-Continuous Lifting Property
Published online by Cambridge University Press: 20 November 2018
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.
1. Let X be a topological space, and let X′ be the set of all non-convergent ultrafilters on X. If A ⊆ X, let 
, and A* = A ∪ A′. If 
is a filter on X such that 
for all 
, then let. 
be the filter on X* generated by 
; let 
be the filter on X* generated by 
. If exists then 
; otherwise, 
.
A convergence is defined on X* as follows: If x ∈ X, then a filter A → x in X* if and only if 
, where Vx(x) is the X neighborhood filter at x; 
, then 
in X* if and only if 
.
- Type
- Research Article
- Information
- Copyright
- Copyright © Canadian Mathematical Society 1982
References
1.
Dickman, R. F. and Porter, J. R., 0-perfect and O-absolutely closed functions, Ill. J. Math.
21 (1977), 42–60.Google Scholar
2.
Gazik, R. J., Regularity of Richardson s compactification, Can. J. Math.
26 (1974), 1289–1293.Google Scholar
3.
Richardson, G. D., A Stone-Cech compactification for limit spaces, Proc. Amer. Math. Soc.
25 (1970), 403–404.Google Scholar
You have
Access