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An intermediate value theorem in neighbourhood spaces - MaRDI portal

An intermediate value theorem in neighbourhood spaces (Q1086872)

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scientific article; zbMATH DE number 3986144
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English
An intermediate value theorem in neighbourhood spaces
scientific article; zbMATH DE number 3986144

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    An intermediate value theorem in neighbourhood spaces (English)
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    1986
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    The setting of this article is the neighborhood spaces of \textit{C. T. J. Dodson} and \textit{R. Lok} [Ars Comb. 16A, 107-130 (1983; Zbl 0541.54001)]. An intermediate value theorem is proven for neighborhood maps on a connected neighborhood space to the standard neighborhood space. Some generalizations of the central intermediate value theorem are also established.
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    hazy space
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    intermediate value theorem
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    neighborhood maps
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    connected neighborhood space
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