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Compactness and Completeness

Alessandro Fonda
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Alessandro Fonda: Università degli Studi di Trieste, Dipartimento di Matematica e Geoscienze

Chapter 4 in A Modern Introduction to Mathematical Analysis, 2023, pp 93-106 from Springer

Abstract: Abstract In this chapter we discover some more subtle properties of the set of real numbers. This investigation will emphasize two important concepts, which will then be analyzed in the general setting of metric spaces: compactness and completeness.

Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-23713-3_4

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DOI: 10.1007/978-3-031-23713-3_4

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