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A map between nonempty partially ordered sets is said to be orderpreserving if entails . The collection of orderpreserving maps can be endowed with an ordering relation in a natural way by setting in iff for all . When considering … Continue reading
Any compact (= Hausdorff) space is on the brink of being compact and being : (1) If we endow with a topology distinct from such that , then is not compact any more; and (2) if we endow with … Continue reading