Complements and Powers

  • Paul R. Halmos
Part of the Undergraduate Texts in Mathematics book series (UTM)


If A and B are sets, the difference between A and B, more often known as the relative complement of B in A, is the set A – B defined by
$$A - B = \left\{ {x \in A:x \in 'B} \right\}.$$


Basic Fact Proper Subset Symmetric Difference Technical Sense Reasonable Interpretation 
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 1974

Authors and Affiliations

  • Paul R. Halmos
    • 1
  1. 1.Department of MathematicsSanta Clara UniversitySanta ClaraUSA

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