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- W2064756091 abstract "Abstract We consider various problems regarding roots and coincidence points for maps into the Klein bottle Equation missing<!-- image only, no MathML or LaTex -->. The root problem where the target is Equation missing<!-- image only, no MathML or LaTex --> and the domain is a compact surface with non-positive Euler characteristic is studied. Results similar to those when the target is the torus are obtained. The Wecken property for coincidences from Equation missing<!-- image only, no MathML or LaTex --> to Equation missing<!-- image only, no MathML or LaTex --> is established, and we also obtain the following 1-parameter result. Families Equation missing<!-- image only, no MathML or LaTex --> which are coincidence free but any homotopy between Equation missing<!-- image only, no MathML or LaTex --> and Equation missing<!-- image only, no MathML or LaTex -->, Equation missing<!-- image only, no MathML or LaTex -->, creates a coincidence with Equation missing<!-- image only, no MathML or LaTex -->. This is done for any pair of maps such that the Nielsen coincidence number is zero. Finally, we exhibit one such family where Equation missing<!-- image only, no MathML or LaTex --> is the constant map and if we allow for homotopies of Equation missing<!-- image only, no MathML or LaTex -->, then we can find a coincidence free pair of homotopies." @default.
- W2064756091 created "2016-06-24" @default.
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- W2064756091 date "2006-03-16" @default.
- W2064756091 modified "2023-09-23" @default.
- W2064756091 title "Wecken type problems for self-maps of the Klein bottle" @default.
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- W2064756091 doi "https://doi.org/10.1155/fpta/2006/75848" @default.
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