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.
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© 1983 Springer-Verlag New York Inc.
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Hochschild, G.P. (1983). Integration. In: Perspectives of Elementary Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-5567-3_8
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DOI: https://doi.org/10.1007/978-1-4612-5567-3_8
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-90848-9
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