Chapter 2

  • Asuman Güven Aksoy
  • Mohamed A. Khamsi
Part of the Universitext book series (UTX)

Abstract

Let (A i ) i єI be a family of sets and let U be an ultrafilter on I. By \(\mathop \prod \limits_{i \in I}\) A i we mean the cartesian product of the sets (A i ) i єI; consider the relation ~ u on \(\mathop \prod \limits_{i \in I}\) A i defined by:
$$\left( {{a_i}} \right){ \sim _u}\left( {{b_i}} \right){\text{ if and only if }}\left\{ {i:{a_i} = {b_i}} \right\} \in u$$
(1.1)

Keywords

Hull 

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Copyright information

© Springer-Verlag New York Inc. 1990

Authors and Affiliations

  • Asuman Güven Aksoy
    • 1
  • Mohamed A. Khamsi
    • 2
  1. 1.Department of MathematicsClaremont McKenna CollegeClaremontUSA
  2. 2.Department of Mathematical SciencesUniversity of Texas at El PasoEl PasoUSA

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