Characterizations of σ-spaces

σ-Normality of Topological Spaces

Characterizations of $L$-convex spaces

In this paper, the concepts of $L$-concave structures, concave $L$-interior operators and concave $L$-neighborhood systems are introduced. It is shown that the category of $L$-concave spaces and the category of concave $L$-interior spaces are isomorphic, and they are both isomorphic to the category of concave $L$-neighborhood systems whenever $L$ is a completely distributive lattice. Also, it i...

σ-normality of topological spaces

New Characterizations of Bergman Spaces

We obtain several new characterizations for the standard weighted Bergman spaces Aα on the unit ball of C in terms of the radial derivative, the holomorphic gradient, and the invariant gradient.

Characterizations of L-convex Spaces

In this paper, the concepts of L-concave structures, concave Linterior operators and concave L-neighborhood systems are introduced. It is shown that the category of L-concave spaces and the category of concave Linterior spaces are isomorphic, and they are both isomorphic to the category of concave L-neighborhood systems whenever L is a completely distributive lattice. Also, it is proved that th...