In mathematics, in the field of topology, perfect spaces are spaces that have no isolated points. In such spaces, every point can be approximated arbitrarily well by other points - given any point and any topological neighborhood of the point, there is another point within the neighborhood. The term perfect space is also used, incompatibly, to refer to other properties of a topological space, such as being a G? space. Context is required to determine which meaning is intended. In this article, a space which is not perfect will be referred to as imperfect.

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