Geodesic
Separating H-sets by Open Sets
Canadian mathematical bulletin, Tome 53 (2010) no. 2, pp. 360-366

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DOI

In an $\text{H}$ -closed, Urysohn space, disjoint $\text{H}$ -sets can be separated by disjoint open sets. This is not true for an arbitrary H-closed space even if one of the $\text{H}$ -sets is a point. In this paper, we provide a systematic study of those spaces in which disjoint $\text{H}$ -sets can be separated by disjoint open sets.
DOI : 10.4153/CMB-2010-039-x
Mots-clés : 54C08, 54D10, 54D15, H-set, H-closed, 0-continuous 
Porter, Jack; Tikoo, Mohan. Separating H-sets by Open Sets. Canadian mathematical bulletin, Tome 53 (2010) no. 2, pp. 360-366. doi: 10.4153/CMB-2010-039-x
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     author = {Porter, Jack and Tikoo, Mohan},
     title = {Separating {H-sets} by {Open} {Sets}},
     journal = {Canadian mathematical bulletin},
     pages = {360--366},
     year = {2010},
     volume = {53},
     number = {2},
     doi = {10.4153/CMB-2010-039-x},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2010-039-x/}
}
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