Document Zbl 0628.54011

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Simple continuity and cliquishness. (English) Zbl 0628.54011

Čas. Pěstování Mat. 112, 355-358 (1987).

An example is given which shows that a real simply continuous function is not always cliquish. On the other hand, it is shown that any real function defined on a locally second countable topological space which is simply continuous is cliquish.

Cited in 2 Documents

MSC:

54C10	Special maps on topological spaces (open, closed, perfect, etc.)
54C30	Real-valued functions in general topology

Keywords:

cliquish function; real simply continuous function

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