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Memorial University - Electronic Theses and Dissertations 4
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Document Description
TitleCoincidence Nielsen numbers for covering maps for orientable and nonorientable manifolds
AuthorMoh'D, Fida.
DescriptionThesis (Ph.D.)--Memorial University of Newfoundland, 2008.Mathematics and Statistics
Paginationix, 171 leaves
SubjectCoincidence theory (Mathematics); Manifolds (Mathematics); Mappings (Mathematics); Von Neumann algebras
Degree GrantorMemorial University of Newfoundland. Dept. of Mathematics and Statistics
DisciplineMathematics and Statistics
NotesIncludes bibliographical references (leaves 169-171)
AbstractLet f, g : M N be maps between closed manifolds of the same dimension, and let p : M M and p' : Ñ N be finite regular covering maps. If the manifolds M and N are orientable, then, under certain conditions, the Nielsen number N (f, g ) of f and g can be computed as a linear combination of the Nielsen numbers of the lifts of f and g. In the non-orientable case, using semi-index, we introduce two new Nielsen numbers. The first one is the Linear Nielsen number NL (f, g ), which is a linear combination of the Nielsen numbers of the lifts of f and g. The second one is the Non-linear Nielsen number NED (f, g ). It is the number of certain essential classes whose inverse images by p are inessential Nielsen classes. In fact, N (f, g ) = NL (f, g ) + NED ( f, g ), where by abuse of notation, N (f, g ) denotes the coincidence Nielsen number defined using semi-index.
Resource TypeElectronic thesis or dissertation
FormatImage/jpeg; Application/pdf
SourcePaper copy kept in the Centre for Newfoundland Studies, Memorial University Libraries
Local Identifiera2701983
RightsThe author retains copyright ownership and moral rights in this thesis. Neither the thesis nor substantial extracts from it may be printed or otherwise reproduced without the author's permission.
CollectionElectronic Theses and Dissertations
Scanning StatusCompleted
PDF File(14.88 MB) --
CONTENTdm file name30439.cpd