Entourages

A uniformly continuous function is defined as one where inverse images of entourages are again entourages, or equivalently, one where the inverse images of uniform covers are again uniform covers.

Sitting in review were, Xi Jinping, China, Kim Jong-un, North Korea, Ebrahim Raisi-Iran and Vladimir Putin, Russia, with their entourages and security details.

One night in 1937, Duke Ellington and Ethel Waters dropped in with separate entourages.

The only people allowed are the athletes, their limited entourages and U.S. Open employees.

Engelmayer’s judgment also included mentions of incidents with rappers Trippie Redd, Chief Keef and Casanova, with the judge also noting: “Before you, the gang didn’t fight with rap entourages.

In RZA's view, had the artists and their entourages met up that night, things could have gotten violent, but nothing of the sort ever occurred.

Less trivially, it can be shown that a uniform structure that admits a countable fundamental system of entourages (and hence in particular a uniformity defined by a countable family of pseudometrics) can be defined by a single pseudometric.

Nicknamed the "Mexican Pipeline" due to the similar power and shape of the Banzai Pipeline on the North Shore of Oahu, the wave that breaks on Zicatela Beach draws an international crowd of surfers, bodyboarders and their entourages.

Nicolas Bourbaki provided the definition of uniform structure in terms of entourages in the book Topologie Générale and John Tukey gave the uniform cover definition.

Such entourages are named comitatus by historians, although it is not a contemporary term. It was adapted in the 19th century from a word used by the 2nd-century historian Tacitus to describe the close companions of a lord or king.

The elements U of Φ are called entourages from the French word for surroundings.

The sets C(V) can be shown to form a fundamental system of entourages; Y is equipped with the uniform structure thus defined.