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Domain Theory, Order Topology and Quasicontinuous Functions Dr. Rodica Cazacu, Georgia College Mathematics Department


Abstract

This talk will present an introduction to the Domain Theory and some applications involving quasicontinuous functions. Since domains are ordered structures, the topology that has arisen has been a distinctive topology that has been combined with the study of partial orders. Scott Topology and Lawson Topology are two examples of such topologies that have nice and interesting properties. We will also use the Domain Theory to find and "organize" a space of quasicontinuous functions.
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