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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.)
##### Keywords:
perfect mapping; closed mappings
Full Text:
##### References:
 [1] R. Engelking, General Topology.PWN-Polish Scientific Publishers, Warszawa, 1977.
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