Representation theorem

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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[edit]

Algebra[edit]

Category theory[edit]

Functional analysis[edit]

Geometry[edit]

See also[edit]

References[edit]

  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.{{cite web}}: CS1 maint: url-status (link)
  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.
  4. ^ "Freyd–Mitchell embedding theorem in nLab". ncatlab.org. Retrieved 2019-12-08.
  5. ^ "Notes on the Nash embedding theorem". What's new. 2016-05-11. Retrieved 2019-12-08.