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, §3.2, page 71