Real-valued continuous functions and the span of continua
A. Lelek, L. Mohler (1975)
Colloquium Mathematicae
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A. Lelek, L. Mohler (1975)
Colloquium Mathematicae
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R. Jolly, James Rogers (1970)
Fundamenta Mathematicae
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Charatonik, J. J.
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Michel Smith (1977)
Fundamenta Mathematicae
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Lee Mohler, Lex Oversteegen (1984)
Fundamenta Mathematicae
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Dorothy S. Marsh (1980)
Colloquium Mathematicae
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H. Cook (1967)
Fundamenta Mathematicae
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Ivan Loncar (1995)
Publicacions Matemàtiques
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In this paper we define a space σ() for approximate systems of compact spaces. The construction is due to H. Freudenthal for usual inverse sequences [4, p. 153–156]. We establish the following properties of this space: (1) The space σ() is a paracompact space, (2) Moreover, if is an approximate sequence of compact (metric) spaces, then σ() is a compact (metric) space (Lemma 2.4). We give the following applications of the space σ(): (3) If is an approximate system of continua, then...
James Davis, W. Ingram (1988)
Fundamenta Mathematicae
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