The inverse limits approach to chaos (Q949648)

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scientific article; zbMATH DE number 5354976
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English
The inverse limits approach to chaos
scientific article; zbMATH DE number 5354976

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    The inverse limits approach to chaos (English)
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    21 October 2008
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    As an area in topology, inverse limits has its origins in the 1920s and since the 1950s has been very useful as means of constructing ``pathological'' continua. However, since the 1980s there is a growing literature that looks at the connection between inverse limits and topological dynamics. In this paper, the authors review some results from this literature and apply them to the cash-in-advance model of money. In particular, they analyze the inverse limit of the cash-in-advance model of money and illustrate how information about the inverse limit is useful for detecting or ruling out complicated dynamics.
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    chaos
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    inverse limits
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    continuum theory
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    topological entropy
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    cash-in-advance
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