"Most general" or formally "reflective" means that the space β"X" is characterized by the universal property that any continuous function from "X" to a compact Hausdorff space "K" can be extended to a continuous function from β"X" to "K" in a unique way.More explicitly, β"X" is a compact Hausdorff space containing "X" such that the induced topology on "X" by β"X" is the same as the given topology on "X", and for any continuous map "f"