Assertion: euclidean space's property | /r/HasProperty | equivalent
Facets:
value: for a banach space
type: OTHER
value: for any manifold
type: OTHER
value: given parallel straight lines
type: OTHER
value: in cartesian terms
type: OTHER
Source sentences:
text: His axioms, however, do not guarantee that the circles actually intersect, because they do not assert the geometrical property of continuity, which in Cartesian terms is equivalent to the completeness property of the real numbers.
text: For any manifold the properties of being second-countable, Lindelöf, and σ-compact are all equivalent.
text: Given parallel straight lines l and m in Euclidean space, the following properties are equivalent:
text: For a Banach space the following two properties are equivalent: X is reflexive.