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  • Definition: If X is an ordered set, and a is an element of X, there are four subsets of X that are called the rays determined by a They are the following: (a, positive infinity)={x|x > a}, (negative infinity, a)={x|x < a}, [a, positive infinity)={x|x >= a}, (negative infinity, a]={x|x <= a}. Sets of the first two types are called open rays, and sets of the last two types are called closed rays.

    Source: Topology (second edition) by James R. Munkres

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