Local topological structure in the LUC compactification of a locally compact group

dc.contributor	Graduate Program in Mathematics.
dc.contributor.advisor	Budak, Talin.
dc.contributor.author	Elgün, Elçim.
dc.date.accessioned	2023-03-16T11:21:34Z
dc.date.available	2023-03-16T11:21:34Z
dc.date.issued	2007.
dc.description.abstract	In this thesis we first construct the LUC-Compactification of a topological group. We present GLUC with two different approaches, first as the set of multiplicative means on the space of LUC functions on G, and when G is locally compact, as a quotient space of the set of ultrafilters on G. Then local topological structure of GLUC is investigated and a neighborhood basis for elements of GLUC is characterized. Results on the injectivity property of multiplication on GLUC are obtained, and a special condition on G, under which injectivity property can be extended is also examined. Finally a subclass, the slowly oscillating functions, of LUC-functions is defined to decompose a special subspace of GLUC. Then the decomposition is extended to discrete cancellative semigroups.
dc.format.extent	30cm.
dc.format.pages	ix, 78 leaves;
dc.identifier.other	MATH 2007 E44
dc.identifier.uri	https://digitalarchive.library.bogazici.edu.tr/handle/123456789/15230
dc.publisher	Thesis (M.S.)-Bogazici University. Institute for Graduate Studies in Science and Engineering, 2007.
dc.relation	Includes appendices.
dc.relation	Includes appendices.
dc.subject.lcsh	Locally compact groups.
dc.title	Local topological structure in the LUC compactification of a locally compact group

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