Topology of ℝ $$\mathbb{R}$$ and Continuity

Houshang H. Sohrab
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Houshang H. Sohrab: Towson University, Mathematics

Chapter Chapter 4 in Basic Real Analysis, 2014, pp 129-179 from Springer

Abstract: Abstract Roughly speaking, a quantity y is said to depend continuously on a quantity x if “small” changes in x result in small changes in y. Our goal in this chapter is to make this statement mathematically precise.

Keywords: Uniform Continuity; Ternary Expansion; Absolute Continuity; Intermediate Value Property; Pairwise Disjoint Open Subintervals (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4939-1841-6_4

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DOI: 10.1007/978-1-4939-1841-6_4

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