Abstract
In this chapter, we extend the notions of neighborhoods, convergent sequences, and continuous functions, which we have studied in the setting of the real line, to more general situations. We are interested especially in the setting of Rd, the Euclidean space of dimension d, but it turns out that the means by which we formulate and analyze the notions of continuity and convergence, and related ideas, carry over to much more general settings, with little or no adaptation; as a result, we shall introduce some fairly abstract notions right from the beginning.
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© 1996 Springer Science+Business Media New York
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Browder, A. (1996). Topology. In: Mathematical Analysis. Undergraduate Texts in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-0715-3_6
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DOI: https://doi.org/10.1007/978-1-4612-0715-3_6
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-6879-6
Online ISBN: 978-1-4612-0715-3
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