palaeology vs archeology

palaeology and archeology both are nouns.

Word	Noun	Adjective	Verb	Adverb
palaeology	Yes	No	No	No
archeology	Yes	No	No	No

As nouns, archeology is a hypernym of palaeology; that is, archeology is a word with a broader meaning than palaeology:

palaeology: the study of (especially prehistoric) antiquities
archeology: the branch of anthropology that studies prehistoric people and their cultures

Other hypernyms of palaeology include archaeology.

palaeology (noun)	archeology (noun)
the study of (especially prehistoric) antiquities	the branch of anthropology that studies prehistoric people and their cultures