Perfect Set

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perfect set

[′pər·fikt ′set]
A set in a topological space which equals its set of accumulation points.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
The following article is from The Great Soviet Encyclopedia (1979). It might be outdated or ideologically biased.

Perfect Set


a closed set without isolated points, that is, a closed set identical with the set of its limit points. The Cantor set is the classic example of a perfect set that is everywhere nondense. Any nonempty perfect set in Euclidean space has the power of the continuum.

The Great Soviet Encyclopedia, 3rd Edition (1970-1979). © 2010 The Gale Group, Inc. All rights reserved.
References in classic literature ?
But instead of either of these, he saw nothing but a strange face, sunburnt, and encircled by a beard, with eyes brilliant as carbuncles, and a smile upon the mouth which displayed a perfect set of white teeth, pointed and sharp as the wolf's or jackal's.
His mouth was large, but compressed, and possessing a great share of expression and character, and, when opened, it discovered a perfect set of short, strong, and regular teeth.
It's the perfect set up for an afternoon snooze in the sun.
It's not recommended for library lending but is a perfect set for New Age seers and any tarot user seeking a different approach.
The Covering Property Axiom, CPA; a combinatorial core of the iterated perfect set model.
Le Coq Arena 5pm, ITV ROY HODGSON has set his men the target of completing this qualification campaign with a perfect set of 10 wins.
Vale of Llangollen assistant Lee Rooke, 29, produced a perfect set of figures as he posted a two-under 70 which contained a birdie on each loop.
The brilliant Smokers Outside The Hospital Doors was left for the encore and was a highlight in a perfect set. Avril Cadden
Dental experts are on the lookout for the perfect set of dentures to name smile of the year.
It is the perfect set to get started and isn't going to damage the pocket too badly in doing so.
BOFFINS are trying to create the perfect set of studs for England skipper David Beckham.