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added (examples) tag - since the question basically asks for list of examples of pairs of spaces with given properties

edit approved Jan 16, 2017 at 6:43

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Connected $T_2$-spaces with only constant maps between them

If $f:\mathbb{R}\to\mathbb{Q}$ is continuous, then it is constant. Are there infinite connected $T_2$-spaces $X,Y$ such that the only continuous maps $f:X\to Y$ are the constant maps?

gn.general-topology examples

asked Jan 15, 2017 at 16:15

Dominic van der Zypen

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