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Some Separable Spaces and Remote Points

Published online by Cambridge University Press:  20 November 2018

Alan Dow*
Affiliation:
Vrije Universiteit, Amsterdam, The Netherlands
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0. Introduction. A point p ∈ βX\X is called a remote point of X if P ∉ clβXA for each nowhere dense subset A of X. If X is a topological sum Σ{Xn : n ∈ ω} we call nice if {n : FXn = ∅} is finite for each . We call remote if for each nowhere dense subset A of X there is an with FA = ∅ and n-linked if each intersection of at most n elements of is non-empty.

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1982

References

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