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- W2375603927 abstract "The new concepts of the measurement topology and full measure on posets are introduced.Some basic properties of them and relations with other intrinsic topologies are given.The main results are:(1) The measurement topology on a continuous poset is actually determined by any full measure for the poset,and can also be obtained by restricting the measurement topology for the directed completion of the poset to this poset.(2) If the continuous poset is also a continuous dcpo,then the measurement topology of the poset is exactly the μ topology in the sense of K.Martin.(3) A continuous poset has a countable basis iff the measurement topology of it is separable.(4) If a net in a continuous poset convergences to a point in the measurement topology,then the net has eventually a supremum of that point.(5) Any ω continuous poset has a full measure on it." @default.
- W2375603927 created "2016-06-24" @default.
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- W2375603927 date "2007-01-01" @default.
- W2375603927 modified "2023-09-26" @default.
- W2375603927 title "Measurement Topology and Full Measure on Posets" @default.
- W2375603927 hasPublicationYear "2007" @default.
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