Geodesic
On minimal-$\alpha$-spaces
Commentationes Mathematicae Universitatis Carolinae, Tome 44 (2003) no. 4, pp. 727-740.

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An $\alpha$-space is a topological space in which the topology is generated by the family of all $\alpha$-sets (see [N]). In this paper, minimal-$\alpha\Cal P$-spaces (where $\Cal P$ denotes several separation axioms) are investigated. Some new characterizations of $\alpha$-spaces are also obtained.
Classification : 54A05, 54A10, 54D25, 54D80
Keywords: $\alpha$-space; $\alpha T_i$-space; minimal-$\alpha T_i$ space; $T_2$-closed space; minimal-$T_2$ space; $\psi$-space 
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Lo Faro, G.; Nordo, G.; Porter, J. R. On minimal-$\alpha$-spaces. Commentationes Mathematicae Universitatis Carolinae, Tome 44 (2003) no. 4, pp. 727-740. http://geodesic.mathdoc.fr/item/CMUC_2003__44_4_a16/