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Induced and Coinduced Topologies

  • Iain T. Adamson

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 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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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