one-point compactification

one-point compactification

[′wən ‚pȯint kəm‚pak·tə·fə′kā·shən]
(mathematics)
The one-point compactification of a topological space X is the union of X with a set consisting of a single element, with the topology of consisting of the open subsets of X and all subsets of whose complements in are closed compact subsets in X. Also known as Alexandroff compactification.
References in periodicals archive ?
If [kappa] is an infinite cardinal then A([kappa]) is the one-point compactification of a discrete space of cardinality [kappa].
R] denotes the reals extended by -[infinity], +[infinity] with the Alexandrov one-point compactification.
Not unlike the one-point compactification of the complex plane by adding the points at infinity leading to the Gauss-Riemann sphere.