Integration

Gerhard P. Hochschild
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Gerhard P. Hochschild: University of California, Department of Mathematics

Chapter Chapter VIII in Perspectives of Elementary Mathematics, 1983, pp 93-106 from Springer

Abstract: Abstract Let S be a subset of a metric space V. A point p of S is called an interior point of S if there is a positive real number δ such that every point of V whose distance from p is less than δ belongs to S. The set S is said to be open in V if every point of S is an interior point of S. If p is a point in V then every subset S of V containing p as an interior point is called a neighborhood of p in V. A subset of V is said to be closed in V if its complement in V is open.

Keywords: Line Segment; Convex Subset; Interior Point; Positive Real Number; Finite Family (search for similar items in EconPapers)
Date: 1983
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DOI: 10.1007/978-1-4612-5567-3_8

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