## $$\gamma$$-connected sets.(English)Zbl 1049.54021

Summary: It is shown that the concept of a connected set and the essential properties of connected sets can be generalized in the manner that the role of open sets is given to $$\gamma$$-open sets, where $$\gamma$$ is a monotonic mapping of the power set.

### MSC:

 54D05 Connected and locally connected spaces (general aspects) 54A05 Topological spaces and generalizations (closure spaces, etc.)
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