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Definition 2024
homeomorphic
homeomorphic
English
Alternative forms
- homoeomorphic (British)
- homœomorphic
Adjective
homeomorphic (not comparable)
- 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.
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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
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