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Monthly Archives: August 2010
(Least) upper bounds for orderpreserving maps
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
Posted in Order theory
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T_2 and compactness
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
Posted in Pointset topology
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