On Whitney convergence

• Autorzy: Kowalczyk S.
• Języki publikacji: EN

Abstrakty

EN

In this paper we describe the W-convergence in C(X, Y) where X is a normal topological space, (Y, d) is a metric space and C(X, Y) is the space of all continuous functions from X to Y. The main theorem of this paper states that the sequence (fn)n∈N of functions from C(X, Y) is W-convergent to a function f ∈ C(X, Y) if and only if it is uniformly convergent to f and there exists a countably compact subset K ⊂ X such that if U is a neighborhood of K then there exists n0 ∈ N for which [wzór]

Słowa kluczowe

EN

Whitney convergence; uniform convergence; countably compactness

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2009
• Tom: Vol. 15, nr 1
• Strony: 139--148
• Opis fizyczny: Bibliogr. 8 poz.

Twórcy

autor

Kowalczyk S.

• Institute of Mathematics Pomeranian Academy of Słupsk,

Bibliografia

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