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Set theory and metric spaces Irving Kaplansky
Publisher: Chelsea Pub Co

Part 3 is devoted to investigating the metric spaces of fuzzy sets and the commonfixed point theory for fuzzy mappings.Firstly,a classical result about the space ofnonempty compact sets with the Hausdorff metric is generalized. Boise Set Theory Seminar Thursday, March 21 from 1:30 to 2:30pm. In recent years many authors have worked on domain theory in order to equip semantics domain with a notion of distance. It is clear that if , then from (P 1) and (P 2) . Dr Coskey recently discussed the universal separable needed for my development will be reviewed in my talk. In particular, Matthews [1] introduced the notion of a partial Partial Metric Spaces. The pair is called a partial metric space. Title: Of the Urysohn Space $U$, Space-Filling Curves, and Isometric Embeddings of $U$ in $C[0,1]$. It is also known that $C[0,1]$, the space of continuous functions on the unit interval with the sup metric, is a universal separable metric space. One of the things that topologists like to say is that a topological set is just a set with some structure. A partial metric on a nonempty set is a function such that, for all , , , , . Aug 29 2010 Published by MarkCC under topology. The following definitions and details can be seen in [1–9].