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Showing 1 to 1 of 1 for “"Intermediate value property."”.
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Generalized inverse limits and the intermediate value property.
We introduce and discuss various notions of the intermediate value property applicable to upper-semicontinuous set-valued functions f : [0, 1] → 2^[0,1]. In the first part, we present sufficient conditions such that an inverse limit of a sequence of bonding functions of this type is a continuum. In …