Abstract
We introduce the elementary topological concepts for metric spaces, like open, closed, and compact subsets. Continuity of functions is also expressed in topological terms. At the end, we also briefly discuss abstract topological spaces.
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© 1998 Springer-Verlag Berlin Heidelberg
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Jost, J. (1998). Metric Spaces: Continuity, Topological Notions, Compact Sets. In: Postmodern Analysis. Universitext. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-03635-8_8
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DOI: https://doi.org/10.1007/978-3-662-03635-8_8
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-63485-0
Online ISBN: 978-3-662-03635-8
eBook Packages: Springer Book Archive