We prove the theorem of the title. Every n-valued map $$\phi :S^2 \multimap S^2$$ϕ:S2⊸S2 of the 2-sphere has the Wecken property for n-valued maps, that is, it is n-valued homotopic… Click to show full abstract
We prove the theorem of the title. Every n-valued map $$\phi :S^2 \multimap S^2$$ϕ:S2⊸S2 of the 2-sphere has the Wecken property for n-valued maps, that is, it is n-valued homotopic to a map with $$N(\phi )$$N(ϕ) fixed points, where $$N(\phi )$$N(ϕ) is the Nielsen number of $$\phi $$ϕ.
               
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