[ huh-mot-uh-pee, hoh- ]
/ həˈmɒt ə pi, hoʊ- /

noun, plural ho·mot·o·pies. Mathematics.

the relation that exists between two mappings in a topological space if one mapping can be deformed in a continuous way to make it coincide with the other.

Origin of homotopy

1915–20; homo- + -topy (< Greek tóp(os) place + -y3, or < New Latin -topia)
Dictionary.com Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2019