Title of article
When is a P-space weakly discretely generated?
Author/Authors
Alas، نويسنده , , Ofelia T. and Junqueira، نويسنده , , Lucia R. and Wilson، نويسنده , , Richard G.، نويسنده ,
Issue Information
دوماهنامه با شماره پیاپی سال 2014
Pages
9
From page
2
To page
10
Abstract
A space X is discretely generated at a point x ∈ X if for any A ⊆ X with x ∈ cl ( A ) , there exists a discrete set D ⊆ A such that x ∈ cl ( D ) . The space X is discretely generated if it is discretely generated at every point x ∈ X . We say that X is weakly discretely generated if for any non-closed set A ⊆ X , there exists a discrete set D ⊆ A such that cl ( D ) \ A ≠ ∅ . We obtain new results concerning these properties in the class of P-spaces.
Keywords
P-space , Lindelِf space , Countable extent , Fréchet net character , Discretely generated space , Weakly discretely generated space
Journal title
Topology and its Applications
Serial Year
2014
Journal title
Topology and its Applications
Record number
1584071
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