admission vs entering

admission and entering both are nouns.

Word	Noun	Adjective	Verb	Adverb
admission	Yes	No	No	No
entering	Yes	No	No	No

As nouns, entering is a hypernym of admission; that is, entering is a word with a broader meaning than admission:

Other hypernyms of admission include entrance, entry, incoming, ingress.

admission (noun)	entering (noun)
the act of admitting someone to enter	the act of entering
the right to enter	a movement into or inward
an acknowledgment of the truth of something
the fee charged for admission