Assertion: metric space | /r/HasProperty | isometric
Facets:
value: to a subspace of c(α
type: LOCATION
Source sentences:
text: A metric space of density equal to an infinite cardinal α is isometric to a subspace of C(α, R) , the space of real continuous functions on the product of α copies of the unit interval.
text: They are called quasi-isometric if there exists a quasi-isometry between them.
text: For metric spaces there are universal spaces, into which all spaces of given density can be embedded: a metric space of density α is isometric to a subspace of C(α, R), the space of real continuous functions on the product of α copies of the unit interval.
text: Two metric spaces X and Y are called isometric if there is a bijective isometry from X to Y.