underlying set

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English

Noun

underlying set (plural underlying sets)

  1. (topology) A set of "points" upon which a topology is built, thereby yielding a topological space.
  2. (algebra) A set upon which some operations are defined, thereby yielding an algebraic structure.

Synonyms

References

  • Mendelson, Bert (1975) Introduction to Topology, Third edition, New York: Dover Publications, Inc., published 1990, →ISBN, →OCLC, §3.2, page 71