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On perfect mappings from \(\mathbb{R}\) to \(\mathbb{R}\). (English) Zbl 0830.54016
A function \(f : X \to Y\), where \(X\) and \(Y\) are topological spaces is a perfect mapping if \(f\) is a closed continuous function with compact point inverses. The author studies perfect mappings of the real numbers into the real numbers. In the paper he also studies closed mappings; functions which take closed sets to closed sets; functions with compact point inverses and functions with bounded point inverses.

MSC:
54C10 Special maps on topological spaces (open, closed, perfect, etc.)
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References:
[1] R. Engelking, General Topology.PWN-Polish Scientific Publishers, Warszawa, 1977.
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