ALMOST GP-SPACES
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초록
A T1 topological space X is called an almost GP-space if every dense Gδ-set of X has nonempty interior. The behaviour of almost GP-spaces under taking subspaces and superspaces, images and preimages and products is studied. If each dense Gδ-set of an almost GP-space X has dense interior in X, then X is called a GID-space. In this paper,some interesting properties of GID-spaces are investigated. We will generalize some theorems that hold in almost P-spaces.
Abstract
A T1 topological space X is called an almost GP-space if every dense Gδ-set of X has nonempty interior. The behaviour of almost GP-spaces under taking subspaces and superspaces, images and preimages and products is studied. If each dense Gδ-set of an almost GP-space X has dense interior in X, then X is called a GID-space. In this paper,some interesting properties of GID-spaces are investigated. We will generalize some theorems that hold in almost P-spaces.
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