Wecken Property for Roots

Autor: Wong, Peter

Publikováno v: Proceedings of the American Mathematical Society, 2005 Sep 01. 133(9), 2779-2782.

Externí odkaz: https://www.jstor.org/stable/4097644

The 2-sphere is Wecken for n-valued maps

Autor: Matthew Stimpson, Adam Ericksen, Robert F. Brown, Michael Crabb

Publikováno v: JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, vol 21, iss 2
Journal of Fixed Point Theory and Applications, vol 21, iss 2
Brown, Robert F; Crabb, Michael; Ericksen, Adam; & Stimpson, Matthew. (2019). The 2-sphere is Wecken for n-valued maps. Journal of Fixed Point Theory and Applications, 21(2). doi: 10.1007/s11784-019-0691-1. UCLA: Retrieved from: http://www.escholarship.org/uc/item/0c52961f

We prove the theorem of the title. Every n-valued map $$\phi :S^2 \multimap S^2$$ of the 2-sphere has the Wecken property for n-valued maps, that is, it is n-valued homotopic to a map with $$N(\phi )$$ fixed points, where $$N(\phi )$$ is the Nielsen

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::851601c9d8b5168b9276f9032fbcebc4
https://escholarship.org/uc/item/0c52961f

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Equivariant Nielsen root theory for G-maps

Autor: Hildebrane A. dos Santos, Peter Wong

Publikováno v: Topology and its Applications. 157:1839-1848

Let X be a compact Hausdorff space, Y be a connected topological manifold, f : X → Y be a map between closed manifolds and a ∈ Y . The vanishing of the Nielsen root number N ( f ; a ) implies that f is homotopic to a root free map h, i.e., h ∼

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4ee84bc67966ecf2aa9f90f8b56b81fc
https://doi.org/10.1016/j.topol.2010.02.028

Coincidências em codimensão um e bordismo

Autor: Gustavo de Lima Prado

Publikováno v: Biblioteca Digital de Teses e Dissertações da USPUniversidade de São PauloUSP.

Neste trabalho, estudamos coincidências entre duas aplicações contínuas f e g, de X em Y, onde X e Y são variedades diferenciáveis, conexas, sendo X fechada (n+1)-dimensional e Y sem bordo n-dimensional. Quando o domínio é a esfera e g é con

Externí odkaz: http://www.teses.usp.br/teses/disponiveis/45/45131/tde-08122017-142905/