trivial topology


Also found in: Wikipedia.

trivial topology

[¦triv·ē·əl tə′päl·ə·jē]
(mathematics)
For a set S, a topology whose only members are the set itself and the empty set. Also known as indiscreet topology.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
Mentioned in ?
References in periodicals archive ?
There exist [t.sub.1], ..., [t.sub.n] [member of] [GAMMA] such that for each t [member of] [GAMMA]\{[t.sub.1], ..., [t.sub.n]}, [X.sub.t] has trivial topology, moreover for each t [member of] {[t.sub.1], ..., [t.sub.n]}, [X.sub.t] is Alexandroff.