In munkres topology, I went through an exercise which asks me to show that a function is uniquely determined by another function.
I wonder, What does this mean? I googled it but No answer!
Here is the problem:
2026-04-05 18:48:37.1775414917
What does it mean for a function to be uniquely determined by another function?
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If there $g,h$ are function $g,h\colon \bar A\to Y$ with $g|_A=h|_A=f$, then $g=h$. In other words, if you think you have two extensions, you really have only one.