 Two spaces with a homeomorphism between them are called homeomorphic, and from a topological viewpoint they are the same.The word "homeomorphism" comes from the Greek words "ὅμοιος" ("homoios") = similar or same and "μορφή" ("morphē") = shape, form, introduced to mathematics by Henri Poincaré in 1895.Very roughly speaking, a topological space is a geometric object, and the homeomorphism is a continuous stretching and bending of the object into a new shape.