breathing space vs breathing place

breathing space and breathing place both are nouns.

Word	Noun	Adjective	Verb	Adverb
breathing space	Yes	No	No	No
breathing place	Yes	No	No	No

As nouns, breathing space and breathing place are synonyms defined as:

Other synonyms of breathing space include breath, breather, breathing spell, breathing time.

breathing space (noun)	breathing place (noun)
sufficient room for easy breathing or movement	a short respite
a short respite