Induced and Coinduced Topologies

Iain T. Adamson
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Iain T. Adamson: Department of Mathematics and Computer Science

Chapter Chapter 3 in A General Topology Workbook, 1996, pp 23-30 from Springer

Abstract: 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.

Keywords: Equivalence Relation; Topological Space; Product Topology; Quotient Topology; Countable Dense Subset (search for similar items in EconPapers)
Date: 1996
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DOI: 10.1007/978-0-8176-8126-5_3

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