Abstract
In the first part of this chapter we show how a family of mappings from a set E to the underlying sets of a family of topological spaces may be used to construct a topology on E. There are two important special cases, described in Examples 1 and 2, where we apply the general construction to define subspace and product topologies.
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© 1996 Springer Science+Business Media New York
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Adamson, I.T. (1996). Induced and Coinduced Topologies. In: A General Topology Workbook. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-0-8176-8126-5_3
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DOI: https://doi.org/10.1007/978-0-8176-8126-5_3
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-0-8176-3844-3
Online ISBN: 978-0-8176-8126-5
eBook Packages: Springer Book Archive