Boundedness, Convergence, Continuity

John Mac Sheridan Nerney
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John Mac Sheridan Nerney: Mathematics

Chapter Chapter 2 in An Introduction to Analytic Functions, 2020, pp 11-15 from Springer

Abstract: Abstract A nonempty subset S of ℂ $$\mathbb C$$ is said to be bounded if there is a b ∈ ℝ $$b\in \mathbb R$$ such that |x|≤ b for all x ∈ S. An element z ∈ ℂ $$z\in \mathbb C$$ is a boundary-point of the set S provided that for every 𝜖 > 0 there is an x ∈ S such that |x − z|

Date: 2020
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DOI: 10.1007/978-3-030-42085-7_3

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