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Trivial topology

In topology, a topological space with the **trivial topology** is one where the only open sets are the empty set and the entire space. Such a space is sometimes called an **indiscrete space**. Intuitively, this has the consequence that all points of the space are "lumped together" and cannot be distinguished by topological means; it belongs to a pseudometric space in which the distance between any two points is zero.

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