Title  Coincidence Nielsen numbers for covering maps for orientable and nonorientable manifolds 
Author  Moh'D, Fida. 
Description  Thesis (Ph.D.)Memorial University of Newfoundland, 2008.Mathematics and Statistics 
Date  2008 
Pagination  ix, 171 leaves 
Subject  Coincidence theory (Mathematics); Manifolds (Mathematics); Mappings (Mathematics); Von Neumann algebras 
Degree  Ph.D. 
Degree Grantor  Memorial University of Newfoundland. Dept. of Mathematics and Statistics

Discipline  Mathematics and Statistics

Language  Eng 
Notes  Includes bibliographical references (leaves 169171) 
Abstract  Let 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 nonorientable case, using semiindex, 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 Nonlinear 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 semiindex. 
Type  Text 
Resource Type  Electronic thesis or dissertation 
Format  Image/jpeg; Application/pdf 
Source  Paper copy kept in the Centre for Newfoundland Studies, Memorial University Libraries 
Local Identifier  a2701983 
Rights  The 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. 
Collection  Electronic Theses and Dissertations 
Scanning Status  Completed 
PDF File  (14.88 MB)  http://collections.mun.ca/PDFs/theses/Mohd_Fida.pdf 
CONTENTdm file name  30439.cpd 