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On the problem of spacelike properties of continuous maps. (Russian. English summary) Zbl 0748.54002
The author discusses the problem of a proper transmission of notions concerning topological spaces into (suitably defined) notions concerning continuous mappings between topological spaces. Special attention is paid to compactness and to being Hausdorff. It is shown that the category theory approach to the problem is very useful.
MSC:
54C10 Special maps on topological spaces (open, closed, perfect, etc.)
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