Mathematical analysis
I term Sets, numbers, mappings Injectiveness, surjectiveness, biuniqueness. Countability and uncountability of sets
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Injectiveness, surjectiveness, biuniqueness. Countability and uncountability of sets


Example

— biuniqueness, inverse mapping y = arcsin x.


Example

X = [−1; 1],   Y = [0; 1],   f(x) = x2 — surjection.


Example

X = [0; 1],   Y = [0; 1],   f(x) = x2 — injection, inverse mapping