ice ax vs climbing equipment

ice ax and climbing equipment both are nouns.

Word	Noun	Adjective	Verb	Adverb
ice ax	Yes	No	No	No
climbing equipment	Yes	No	No	No

As nouns, climbing equipment is a hypernym of ice ax; that is, climbing equipment is a word with a broader meaning than ice ax:

ice ax: an ax used by mountain climbers for cutting footholds in ice
climbing equipment: sports equipment used during rock or any other type of climbing.

Other hypernyms of ice ax include ax, axe, rock-climbing equipment.

ice ax (noun)	climbing equipment (noun)
an ax used by mountain climbers for cutting footholds in ice	sports equipment used during rock or any other type of climbing.