antichain

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antichain

[′an·tē‚chān]
(mathematics)
A subset of a partially ordered set in which no pair is a comparable pair.

antichain

(mathematics)
A subset S of a partially ordered set P is an antichain if,

for all x, y in S, x <= y => x = y

I.e. no two different elements are related.

("<=" is written in LaTeX as \subseteq).
References in periodicals archive ?
The Anti-Chain Movement is a group of Americans that refuse to buy and sell into chain stores.
It's the anti-chain restaurant, no two visits to Bully's will ever be the same.
Even though in the 1930s many small proprietors encouraged anti-chain store restrictions, such as hefty taxes, the fair trade groups studied in this essay do not appear to have supported the use of regulation to assign or police retail prices.
10) Richard Schragger, "The Anti-Chain Store Movement, Localist Ideology, and the Remnants of the Progressive Constitution, 1920-1940," Iowa Law Review 90 (March 2005): 101-84.
On a Sunday early this month, anti-chain store firebrand Reverend Billy and the so-called Church of Stop Shopping, a group that advocates for mom-and-pop stores, will kick off its latest event at St.
La Flor De Broadway Cafe, and Kansas City's Broadway Cafe demonstrated that localization, customer care, and authenticity are far more effective means of fighting larger rivals than agitating for anti-chain legislation.
If one excises the references to tobacconists and long-forgotten retail giants like Woolworth's and Butler Brothers, the doom-laden rhetoric of the 1920S sounds strikingly familiar; the anti-big box activism of recent years--directed primarily against retail giants such as Wal-Mart and Barnes & Noble--has its antecedents in the activism of the 1920S, the apogee of the first wave of anti-chain fear.
But this idealized view of the past isn't entirely accurate, as the anti-chain crusaders of the 1920s would have been quick to point out.
In 1928, the Supreme Court struck down the Pennsylvania Drug Store Ownership Law, an anti-chain ordinance that required drug stores to be owned by pharmacists, not corporations.
As the city council reviews the CVA, some Boulderites argue that anti-chain legislation could threaten the city's shaky retail sales tax base.