Tychonoff’s theorem gives confidence that our definitions of compactness and product topology are the **correct (i.e., most useful)** ones.

(Tychonoff’s theorem says the product of any collection of compact topological spaces is compact.)

**SOURCE:** The Encyclopedia Wikimedia

true = useful!

Love seeing pragmatism amidst the supposedly aetherial pursuit of mathematical truth.

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Tags: Andrei Tychonov, compact, Андрей Николаевич тихоновском, education, exploring, logic, mathematics, philosophy, pragmatism, product topology, topology, truth, Tychonoff space, utility, validity

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