If a set is open, does it mean that every point is an interior point? – math.stackexchange.com

If a set is open, does it mean that every point is an interior point? – math.stackexchange.com

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In Walter Rudin's Principles of Mathematical Analysis he defines open set as: "E is open if every point of E is an interior point of E." So this can be translated in logic as "If every point of E is ...

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