## G. Lo Faro, G. Nordo, J.R. Porter

*On minimal-$\alpha $-spaces *

Comment.Math.Univ.Carolinae 44,4 (2003) 727-740. **Abstract:**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.

**Keywords:** $\alpha $-space, $\alpha T_i$-space, minimal-$\alpha T_i$ space, $T_2$-closed space, minimal-$T_2$ space, $\psi $-space

**AMS Subject Classification:** Primary 54A10, 54D25; Secondary 54A05, 54D80

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