different between homomorphic vs homeomorphic

English

homo- +? -morphic

homomorphic (comparative more homomorphic, superlative most homomorphic)

Of or pertaining to homomorphism; having a homomorphism.
- 2014, Xun Yi, Russell Paulet, Elisa Bertino, Homomorphic Encryption and Applications, Springer (?ISBN), page 50:
  In 2010, Nigel P. Smart and Frederik Vercauteren presented a fully homomorphic encryption scheme with smaller key and ciphertext sizes.
- 2014, Miroslaw Kutylowski, Jaideep Vaidya, Verifiable Computation on Outsourced Encrypted Data, in Computer Security – ESORICS 2014, Springer (?ISBN), page 273:
  On one hand, homomorphic encryption allows a cloud server to perform computation on outsourced encrypted data but provides no verifiability that the computation is correct.

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

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

homeomorphic (not comparable)

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".

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