dc.creator | GONCALVES, Daciberg L. | |
dc.creator | KOSCHORKE, Ulrich | |
dc.date.accessioned | 2012-10-20T04:50:16Z | |
dc.date.accessioned | 2018-07-04T15:46:40Z | |
dc.date.available | 2012-10-20T04:50:16Z | |
dc.date.available | 2018-07-04T15:46:40Z | |
dc.date.created | 2012-10-20T04:50:16Z | |
dc.date.issued | 2009 | |
dc.identifier | TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, v.33, n.1, p.85-103, 2009 | |
dc.identifier | 1230-3429 | |
dc.identifier | http://producao.usp.br/handle/BDPI/30595 | |
dc.identifier | http://apps.isiknowledge.com/InboundService.do?Func=Frame&product=WOS&action=retrieve&SrcApp=EndNote&UT=000264313100007&Init=Yes&SrcAuth=ResearchSoft&mode=FullRecord | |
dc.identifier.uri | http://repositorioslatinoamericanos.uchile.cl/handle/2250/1627234 | |
dc.description.abstract | Let M -> B, N -> B be fibrations and f(1), f(2): M -> N be a pair of fibre-preserving maps. Using normal bordism techniques we define an invariant which is an obstruction to deforming the pair f(1), f(2) over B to a coincidence free pair of maps. In the special case where the two fibrations axe the same and one of the maps is the identity, a weak version of our omega-invariant turns out to equal Dold`s fixed point index of fibre-preserving maps. The concepts of Reidemeister classes and Nielsen coincidence classes over B are developed. As an illustration we compute e.g. the minimal number of coincidence components for all homotopy classes of maps between S(1)-bundles over S(1) as well as their Nielsen and Reidemeister numbers. | |
dc.language | eng | |
dc.publisher | JULIUSZ SCHAUDER CTR NONLINEAR STUDIES | |
dc.relation | Topological Methods in Nonlinear Analysis | |
dc.rights | Copyright JULIUSZ SCHAUDER CTR NONLINEAR STUDIES | |
dc.rights | restrictedAccess | |
dc.subject | Coincidence | |
dc.subject | fixed point | |
dc.subject | map over B | |
dc.subject | normal bordism | |
dc.subject | omega-invariant | |
dc.subject | Nielsen number | |
dc.subject | Reidemeister class | |
dc.subject | Dold`s index | |
dc.subject | fibration | |
dc.title | NIELSEN COINCIDENCE THEORY OF FIBRE-PRESERVING MAPS AND DOLD`S FIXED POINT INDEX | |
dc.type | Artículos de revistas | |