New subclasses of U-spaces

A topological space X is called a U-space if any two disjoint cozero-sets can be separated by a clopen set. The paper introduces and studies two new subclasses of U-spaces, which generalize the classes P-spaces and basically disconnected spaces. Some algebraic and topological characterizations of the new spaces are given. The relationship between these spaces is described and some counterexamples are presented which show that these spaces are different from each other.

کلیدواژه ها:

Basically disconnected spaces ، P-spaces ، ، U-spaces