homeomorphic

English

Alternative forms

• homoeomorphic (British)
• homœomorphic

Etymology

(This etymology is missing or incomplete. Please add to it, or discuss it at the Etymology scriptorium.)

Adjective

homeomorphic (not comparable)

1. Having a homeomorphism
   • 1974, Wesley E. Terry, Transactions of the American Mathematical Society, volume 196, pages 93–104:

     Any infinite-dimensional Fréchet space homeomorphic with its countable product is topologically a Hilbert space.

   • 2007, Andrjez Nowik, Acta Mathematica Hungarica, volumes 115:1-2, pages 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, pages 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

having a homeomorphism

• Czech: homeomorfní
• Finnish: homeomorfinen
• German: homöomorph (de)
• Hungarian: homeomorf
• Swedish: homeomorf