Generalized topology, generalized continuity. (English) Zbl 1006.54003

Summary: The paper defines, with the help of generalized topologies and generalized neighbourhood systems, two kinds of generalized continuity, by giving in this way a general form to various concepts discussed in the literature. In particular, generalized continuity admits a characterization furnishing a known characterization of \(\theta\)-continuous maps.


54A05 Topological spaces and generalizations (closure spaces, etc.)
54C08 Weak and generalized continuity
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