Continuity of the superposition of set-valued functions.
Merentes, N., Nikodem, K., Rivas, S. (1997)
Journal of Applied Analysis
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Merentes, N., Nikodem, K., Rivas, S. (1997)
Journal of Applied Analysis
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Joaquín Basilio Díaz, Rudolf Výborný (1965)
Czechoslovak Mathematical Journal
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Lj. B. Ćirić (1972)
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Charles J. Himmelberg, F. S. Van Vleck (1976)
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Nikodem, Kazimierz, Popa, Dorian (2008)
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Joaquín Basilio Díaz, Rudolf Výborný (1964)
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Robert F. Brown (2006)
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A multifunction ϕ: X ⊸ Y is n-valued if ϕ(x) is an unordered subset of n points of Y for each x ∈ X. The (continuous) n-valued multimaps ϕ: S¹ ⊸ S¹ are classified up to homotopy by an integer-valued degree. In the Nielsen fixed point theory of such multimaps, due to Schirmer, the Nielsen number N(ϕ) of an n-valued ϕ: S¹ ⊸ S¹ of degree d equals |n - d| and ϕ is homotopic to an n-valued power map that has exactly |n - d| fixed points. Thus the Wecken property, that Schirmer established...
Andrzej Mostowski (1961)
Fundamenta Mathematicae
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