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The relationships of some generalized open sets in generalized topological space. (Chinese. English summary) Zbl 1340.54005

Summary: Strong generalized topology, as one of properties of generalized topology different from general topology, is an important topic in the field of generalized topology. This paper is devoted to studying the relationships between five generalized open sets and strong generalized topology. As an application of the conclusions, the extremally disconnected generalized topological space is a strict generalization of the strong topological space. Furthermore, the paper investigates some properties between the extremally disconnected generalized topological space and the disconnected generalized topological space.

MSC:

54A05 Topological spaces and generalizations (closure spaces, etc.)
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