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\(\gamma\)-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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