An independency result in connectification theory
Fedeli, Alessandro ; Le Donne, Attilio
Commentationes Mathematicae Universitatis Carolinae, Tome 40 (1999), p. 331-334 / Harvested from Czech Digital Mathematics Library
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A space is called connectifiable if it can be densely embedded in a connected Hausdorff space. Let $\psi$ be the following statement: ``a perfect $T_3$-space $X$ with no more than $2^{\frak c}$ clopen subsets is connectifiable if and only if no proper nonempty clopen subset of $X$ is feebly compact". In this note we show that neither $\psi$ nor $\neg \psi$ is provable in ZFC.

Publié le : 1999-01-01
Classification:  03E35,  54A35,  54C25,  54D05,  54D25 
@article{119089,
     author = {Alessandro Fedeli and Attilio Le Donne},
     title = {An independency result in connectification theory},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {40},
     year = {1999},
     pages = {331-334},
     zbl = {0976.54018},
     mrnumber = {1732654},
     language = {en},
     url = {http://dml.mathdoc.fr/item/119089}
}

Fedeli, Alessandro; Le Donne, Attilio. An independency result in connectification theory. Commentationes Mathematicae Universitatis Carolinae, Tome 40 (1999) pp. 331-334. http://gdmltest.u-ga.fr/item/119089/

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