Assertion: euclidean space | /r/HasProperty | complete
Facets:
Source sentences:
text: Euclidean spaces are complete and locally compact.
text: The section on topology must be rewritten and extended for including the fact that Euclidean spaces are complete and locally compact.
text: Every Euclidean space is complete, as is every closed subset of a complete space.
text: And since any Euclidean space is complete, we can thus conclude that all finite-dimensional normed vector spaces are Banach spaces.