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Some characterizations of the internal structure of Whitney levels

Let X be a continuum, and let C(X) denote the hyperspace of all subcontinua of X. It is known that there exist monotone maps µ from C(X) into 0, ∞) such that µ({x}) = 0 for each x ∈ X, and if A is a proper subcontinuum of B, then µ(A) < µ(B). The subcontinua µ−1(t) of C(X) are called Whitney levels...

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Bibliografische gegevens
Gepubliceerd in:Revista Integración
Hoofdauteur: DAVID MAYA
Formaat: Artigo
Taal:Inglês
Gepubliceerd in: Universidad Industrial de Santander 2024
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