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Inverse Limits with Upper Semi-continuous Bonding Functions Whose Inverse Functions are Continuous

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In this paper, we investigate properties of inverse limits with upper semi-continuous bonding functions whose inverse functions are continuous. In particular, under the condition where each factor space is an… Click to show full abstract

In this paper, we investigate properties of inverse limits with upper semi-continuous bonding functions whose inverse functions are continuous. In particular, under the condition where each factor space is an arbitrary compactum, we give a sufficient condition for inverse sequences with upper semi-continuous bonding functions to have the full projection property.

Keywords: upper semi; continuous bonding; bonding functions; inverse limits; semi continuous; limits upper

Journal Title: Mediterranean Journal of Mathematics
Year Published: 2020

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