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|Title||Alexandroff Spaces Via Types of Lattices|
|Title in Arabic||فضاءات الكساندروف من خلال انواع الللاتيس|
In this thesis, we survey the general topological concepts for the Alexandroff, upper, lower, Scott, Lawson, interval and order topologies. These topologies are induced by posets and are one of the fundamental foundations of theoretical computer science. We shall be talking about special types of Alexandroff spaces via various kinds of lattices. We transform some definitions and poset properties to topological properties. Finally, we shed light on some topological properties of these spaces such as separation axioms, pre-openes, semi-openes, and α-openes. Furthermore, we give some results on products of this new type of Alexandroff spaces.
|Publisher||الجامعة الإسلامية - غزة|
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