relative complement

Last-modified: 2010-11-25 (木) 02:37:01

Definition

  • Let S and X be sets.
  • The ablolute complement of a set S, written ～S, is imgtex.fcgi?%5bres=100%5d%7b%5c%5b%20%5c%7bx%5c%20%7c%5c%20x%5cnotin%20S%5c%7d%20%5c%5d%7d%25.png .
  • The relative complement of S with respect to X is X ⋂ (～S), or simply X～S.

Reference

  • Kelley, John L.,General topology. 2nd ed. (English) [B] Graduate Texts in Mathematics. 27. New York - Heidelberg - Berlin: Springer-Verlag. XIV, 298 p (1975).