Tikhonov's theorem or Tychonoff's theorem may refer to any of several mathematical theorems named after the Russian mathematician Andrey Tikhonov:

• Tychonoff's theorem, the product of any collection of compact topological spaces is compact
• Tikhonov's fixed point theorem, concerning fixed points of continuous mappings on compact subsets of certain topological vector spaces
• Tikhonov's theorem (dynamical systems), concerning limiting behaviour of solutions of systems of differential equations applicable to (among other things) chemistry

See also

• Andrey Tikhonov (mathematician)
• Tikhonov distribution
• Tikhonov regularization
• Tychonoff space

Topics referred to by the same term

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