Tychonoff theorem

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Tychonoff theorem

[tī′kä‚nȯf ‚thir·əm]
(mathematics)
A product of topological spaces is compact if and only if each individual space is compact.
References in periodicals archive ?
B'hler and Salamon assume that students have studied elementary Hilbert space theory, the Stone-WeierstraP Theorem, and the lemma of Zorn and Tychonoff's Theorem in previous courses, but include them here for completeness.
Applying Tychonoff's Theorem we conclude that [mathematical expression not reproducible] is weakly compact in [mathematical expression not reproducible].