Abstract:A subset B of a space X is said to be bounded (in X) if the restriction to B of every real-valued continuous function on X is bounded. A real-valued function on X is called bf
-continuous if its restriction to each bounded subset of X has a continuous extension to the whole space X. bf
-spaces are spaces such that bf
-continuous functions are continuous. We take advantage to the exponential map in the realm of bf
-spaces in order to study … Show more
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