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$\alpha$-space; $\alpha T_i$-space; minimal-$\alpha T_i$ space; $T_2$-closed space; minimal-$T_2$ space; $\psi$-space
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.
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