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What is an intersection?

What is an intersection? Here are some definitions.

Noun
  1. The junction of two (or more) paths, streets, highways, or other thoroughfares.
  2. (geometry) The point or set of points common to two geometrical objects (such as the point where two lines meet or the line where two planes intersect).
  3. (set theory) The set containing all the elements that are common to two or more sets.
  4. (sports) The element where two or more straight lines of synchronized skaters pass through each other.
  5. (category theory) The pullback of a corner of monics.
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Examples
They encouraged architectural readings through the intersection of diagonal and rectilinear bars and planes of color.
The speeding Corvette swerved to avoid intersection traffic and went into a spin.
At every intersection, in every town, there was a traffic policeman or two, waving us on.
In his writing and frequent lectures, Jackson explores the intersection of science and society, agronomy and ecology, culture and politics.
Buses maybe given a separate phase to travel through the intersection, while all other traffic is held on a red signal.
By joining the points of intersection between price and amount of X consumed at that price, we trace out a demand curve.

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