Induced and Coinduced Topologies

  • Iain T. Adamson


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.


Equivalence Relation Topological Space Product Topology Quotient Topology Countable Dense Subset 
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Copyright information

© Springer Science+Business Media New York 1996

Authors and Affiliations

  • Iain T. Adamson
    • 1
  1. 1.Department of Mathematics and Computer ScienceDundeeScotland

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