A map is continuous if and only if the restrictions are – math.stackexchange.com

A map is continuous if and only if the restrictions are – math.stackexchange.com

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I want to find out if the following statement is true or false, and prove why: Let $X$ be a topological space. Suppose $X=A \cup B$ and $f:X \rightarrow Y$ is a map whose restrictions to $A$ and ...

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