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Meaning of homotopy

ho•mot•o•py

Pronunciation: (hu-mot'u-pē, hō-), [key]
— pl. -pies.
  1. 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.
Random House Unabridged Dictionary, Copyright © 1997, by Random House, Inc., on Infoplease.