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A discontinuous function with a connected closed graph. (English) Zbl 1056.54505

Summary: An example of a discontinuous function on \(\mathbb{R}^2\) that has a closed connected graph is given.

MSC:

54C30 Real-valued functions in general topology
54C10 Special maps on topological spaces (open, closed, perfect, etc.)
54G20 Counterexamples in general topology
26B05 Continuity and differentiation questions
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