THEWAY-BELOW RELATION ON FUNCTION SPACES FROM TOPOLOGICAL SPACE TO DOMAIN
The way-below relation on partially ordered sets which are continuous in the sense of D.S. Scott is of paramount importance. The way-below relation expresses the approximation of an element by its finite parts, analogous to the situation where a real number can be perceived as the limit of a sequenc...
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| Format: | Thesis |
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[Yogyakarta] : Universitas Gadjah Mada
2012
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| Summary: | The way-below relation on partially ordered sets which are continuous in the
sense of D.S. Scott is of paramount importance. The way-below relation expresses the
approximation of an element by its finite parts, analogous to the situation where a real
number can be perceived as the limit of a sequence of its rational approximants. In
this thesis, we present explicit characterizations of the way-below relation on spaces
of continuous functions from topological space into continuous poset. |
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