Question

What is the closure of the set (0,1] ∪ {2} in the Euclidean topology on the set of reals ?​

Answer 1

Answer:

In mathematics, the closure of a subset S of points in a topological space consists of all points in S together with all limit points of S. The closure of S may equivalently be defined as the union of S and its boundary, and also as the intersection of all closed sets containing S. Intuitively, the closure can be thought of as all the points that are either in S or "near" S. A point which is in the closure of S is a point of closure of S. The notion of closure is in many ways dual to the notion of interior.

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Answer 2

Answer:

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Step-by-step explanation:

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