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Definition 2024


homeomorphic

homeomorphic

English

Alternative forms

Adjective

homeomorphic (not comparable)

  1. Having a homeomorphism
    • 1974, Wesley E. Terry, Transactions of the American Mathematical Society, volume 196, page 93-104:
      Any infinite-dimensional Fréchet space homeomorphic with its countable product is topologically a Hilbert space.
    • 2007, Andrjez Nowik, Acta Mathematica Hungarica, volume 115:1-2, page 145-154:
      A Vitali set can be homeomorphic to its complement.
    • 2007, Tim D. Austin, Mathematical Proceedings of the Cambridge Philosophical Society, volume 142:1, page 103-110:
      A pair of non-homeomorphic product measures on the Cantor set.

Usage notes

  • In mathematics, this adjective can be used in phrases like "A and B are homeomorphic", "A is homeomorphic to B", and, less commonly, "A is homeomorphic with B".

Translations