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
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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Sohrab, H.H. (2014). Topology of \(\mathbb{R}\) and Continuity. In: Basic Real Analysis. Birkhäuser, New York, NY. https://doi.org/10.1007/978-1-4939-1841-6_4
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DOI: https://doi.org/10.1007/978-1-4939-1841-6_4
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Publisher Name: Birkhäuser, New York, NY
Print ISBN: 978-1-4939-1840-9
Online ISBN: 978-1-4939-1841-6
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