Two objects are topologically equivalent if one object can be continuously deformed to the other. In one or two dimensions, this is something we can visualize: to continuously deform a surface means to stretch it, bend it, shrink it, expand it,...

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In the mathematical field of topology, a homeomorphism or topological isomorphism (from the Greek words homoios = similar and μορφή (morphē) = shape = form (Latin deformation of morphe)) is a special isomorphism between topological spaces which...