underlying set

English

Noun

underlying set (plural underlying sets)

(topology) A set of "points" upon which a topology is built, thereby yielding a topological space.
(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 932232056, §3.2, page 71

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