semi-metric space vs pseudometric space

semi-metric space and pseudometric space both are nouns.

Word	Noun	Adjective	Verb	Adverb
semi-metric space	Yes	No	No	No
pseudometric space	Yes	No	No	No

As nouns, semi-metric space and pseudometric space are synonyms defined as:

semi-metric space and pseudometric space: a generalized metric space in which the distance between two distinct points can be zero.

semi-metric space (noun)	pseudometric space (noun)
a generalized metric space in which the distance between two distinct points can be zero.	a generalized metric space in which the distance between two distinct points can be zero.