Representation theorem

In mathematics, a representation theorem is a theorem that states that every abstract structure with certain properties is isomorphic to another (abstract or concrete) structure.

Examples

Algebra

Category theory

Functional analysis

Geometry

Economics

See also

References

  1. "Cayley's Theorem and its Proof". www.sjsu.edu. Retrieved 2019-12-08.
  2. Dirks, Matthew. "The Stone Representation Theorem for Boolean Algebras" (PDF). math.uchicago.edu. Retrieved 2019-12-08.
  3. Schneider, Friedrich Martin (November 2017). "A uniform Birkhoff theorem". Algebra Universalis. 78 (3): 337–354. arXiv:1510.03166. doi:10.1007/s00012-017-0460-1. ISSN 0002-5240. S2CID 253600065.
  4. Freyd–Mitchell embedding theorem at the nLab
  5. "Notes on the Nash embedding theorem". What's new. 2016-05-11. Retrieved 2019-12-08.
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