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Topology pp 5–40Cite as

Topological Spaces and Continuity

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Abstract

Starting from metric spaces as they are familiar from elementary calculus, one observes that many properties of metric spaces like the notions of continuity and convergence do not depend on the detailed information about the metric: instead, only the coarser knowledge of the set of open subsets is needed.

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Correspondence to Stefan Waldmann .

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© 2014 Springer International Publishing Switzerland

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Waldmann, S. (2014). Topological Spaces and Continuity. In: Topology. Springer, Cham. https://doi.org/10.1007/978-3-319-09680-3_2

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