Connected Hausdorff subtopologies
Porter, Jack R.
Commentationes Mathematicae Universitatis Carolinae, Tome 42 (2001), p. 195-201 / Harvested from Czech Digital Mathematics Library
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A non-connected, Hausdorff space with a countable network has a connected Hausdorff-subtopology iff the space is not-H-closed. This result answers two questions posed by Tkačenko, Tkachuk, Uspenskij, and Wilson [Comment. Math. Univ. Carolinae 37 (1996), 825--841]. A non-H-closed, Hausdorff space with countable $\pi $-weight and no connected, Hausdorff subtopology is provided.

Publié le : 2001-01-01
Classification:  54A10,  54C10,  54D05,  54D35 
@article{119234,
     author = {Jack R. Porter},
     title = {Connected Hausdorff subtopologies},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {42},
     year = {2001},
     pages = {195-201},
     zbl = {1053.54002},
     mrnumber = {1825383},
     language = {en},
     url = {http://dml.mathdoc.fr/item/119234}
}

Porter, Jack R. Connected Hausdorff subtopologies. Commentationes Mathematicae Universitatis Carolinae, Tome 42 (2001) pp. 195-201. http://gdmltest.u-ga.fr/item/119234/

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