Euclidean space

From Topospaces
Jump to: navigation, search


Euclidean space of dimension n, denoted \R^n, is the Cartesian n^{th} power of \R, endowed with the product topology.

Properties of Euclidean space are very important because they govern the properties of manifolds, which are spaces modelled locally on Euclidean spaces.

Relation with other properties

Weaker properties