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Continuous Functions

Mangatiana A. Robdera
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Mangatiana A. Robdera: Al Akhawayn University, School of Science and Engineering

Chapter 9 in A Concise Approach to Mathematical Analysis, 2003, pp 241-269 from Springer

Abstract: Abstract The class of continuous functions plays an important role in analysis. In Chapter 4, we talked about the definition and some properties of continuous functions. We saw that continuity is a local property. In the present chapter, we shall view some continuity-related results in a rather more abstract way.

Keywords: Continuous Function; Compact Subset; Lower Semicontinuous; Convergent Subsequence; Unique Fixed Point (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-0-85729-347-3_9

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DOI: 10.1007/978-0-85729-347-3_9

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