equivalence class

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noun Mathematics.

the set of elements associated by an equivalence relation with a given element of a set.

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Origin of equivalence class

First recorded in 1950–55

These 12 letters are all homeomorphic and make up the largest equivalence class.
Can You Split The States?|Zach Wissner-Gross|June 11, 2021|FiveThirtyEight
I was drawn to The Class for different reasons—chiefly, the pipe dream of achieving a tighter and tauter backside.
How Taryn Toomey’s ‘The Class’ Became New York’s Latest Fitness Craze|Lizzie Crocker|January 9, 2015|DAILY BEAST
Stephanie Giorgio, a classical musician, credits The Class for helping her cope with anxiety, focus, fear, and self-doubt.
How Taryn Toomey’s ‘The Class’ Became New York’s Latest Fitness Craze|Lizzie Crocker|January 9, 2015|DAILY BEAST
In the last year, her fusion exercise class has attracted a cult following and become de rigueur among the celebrity set.
How Taryn Toomey’s ‘The Class’ Became New York’s Latest Fitness Craze|Lizzie Crocker|January 9, 2015|DAILY BEAST

The same picture emerges from middle class men in the U.S., Canada, and the Nordic countries.
How Good Dads Can Change the World|Gary Barker, PhD, Michael Kaufman|January 6, 2015|DAILY BEAST
More to the point, Huckabee has a natural appeal to a party that has come to represent the bulk of working class white voters.
Can Huckabee Convert the GOP’s Moneymen?|Lloyd Green|January 4, 2015|DAILY BEAST
Botanists have enumerated between forty and fifty varieties of the tobacco plant who class them all among the narcotic poisons.
Tobacco; Its History, Varieties, Culture, Manufacture and Commerce|E. R. Billings.
Our class has swelled to about a dozen persons now, and a good many others come and play to him once or twice and then go.
Music-Study in Germany|Amy Fay
It has only been a rare and exceptional class hitherto that has gone on learning throughout life.
The Salvaging Of Civilisation|H. G. (Herbert George) Wells
But we must not class in this unclean category Lord Spunyarn and his friend Haggard, who were both playing at the big table.
The Pit Town Coronet, Volume I (of 3)|Charles James Wills
The universal ignorance of the working class broke down the aspiring force of genius.
The Unsolved Riddle of Social Justice|Stephen Leacock