Fie \( X \) un spatiu numarabil Haussdorf si compact, iar \( f:X\to X \) o functie periodica. Sa se arate ca orice functie continua \( f \) are cel putin un punct de periodicitate.
American Mathematical Monthly, 1995
spatiu numarabil compact Haussdorf si functie periodica
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spatiu numarabil compact Haussdorf si functie periodica
An infinite number of mathematicians walk into a bar. The first one orders a beer. The second orders half a beer. The third, a quarter of a beer. The bartender says “You’re all idiots”, and pours two beers.
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