underlying set

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

• (algebra): carrier set

References

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