PSEUDOMETRIC SPACE
(noun)
There is 1 meaning of the phrase
Pseudometric Space.
Definitions
Pseudometric Space - as a noun
A generalized metric space in which the distance between two distinct points can be zero.
Example: "In the same way as every normed space is a metric space, every seminormed space is a pseudometric space."
Synonyms (Exact Relations)
Example Sentences
"In mathematics, a pseudometric space is a set with a pseudometric function defined on it."
"A pseudometric space is similar to a metric space, but the distance function in a pseudometric space does not necessarily satisfy all the properties of a metric."
"The concept of a pseudometric space allows for a more general approach to studying certain structures."
"A common example of a pseudometric space is the space of all continuous functions on a given interval."
"Every metric space is also a pseudometric space, but the converse is not always true."