Function Types: continuous, surjective, injective, bijective, continuous surjective, continuous injective, continuous bijective. Then all of the above -- with each possible type of inverse?(adsbygoogle = window.adsbygoogle || []).push({});

What is possible with F:X-->Y where X, Y can be [0,1], (0,1), [0,1), Q, R, N?

I certainly don't expect a full listed answer for each combination, but some general principles would be great. :)

I already know there couldn't be bijections between sets of different cardinality. And I know there couldn't be an injection from greater to lower, or a surjection from smaller to greater cardinality.

Thanks

David

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# Cardinality/Function Question

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