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Lattice of Topologies

<p> This thesis deals with the lattice of all topologies which may be put on an arbitrary set E. The structure of the lattice is investigated together with its lattice properties. A chapter is included on the co-atoms of the lattice, the ultra-topologies, wherein various topological properties which do and do not hold are investigated. Various topological properties are considered as to which topologies are minimal and maximal such and also which topological properties are preserved under lattice operations and relations.</p> / Thesis / Master of Science (MSc)

Identiferoai:union.ndltd.org:mcmaster.ca/oai:macsphere.mcmaster.ca:11375/17822
Date05 1900
CreatorsGirhiny, John
ContributorsBruns, G., Mathematics
Source SetsMcMaster University
Languageen_US
Detected LanguageEnglish
TypeThesis

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