The Induced Topology and Its Dual

  • Ioan Mackenzie James
Part of the Springer Undergraduate Mathematics Series book series (SUMS)


This chapter is mainly concerned with subspaces and quotient spaces. However, it often happens in mathematics that by taking a more general point of view one can see more clearly what is happening in a special case. We begin, therefore, by discussing the notion of induced topology before going on to embeddings and subspaces; likewise, we discuss the notion of coinduced topology before going on to quotient maps and quotient spaces.6


Topological Space Topological Group Inverse Image Quotient Space Factor Space 
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Copyright information

© Springer-Verlag London 1999

Authors and Affiliations

  • Ioan Mackenzie James
    • 1
  1. 1.Mathematical InstituteOxford UniversityOxfordUK

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