Dokažemo, da je Banach-Mazurjev kompakt ▫$Q(n)$▫ za vsak ▫$n>2$▫ homeomorfen kompaktifikaciji ▫$I^\infty$▫-mnogoterosti z evklidsko točko. Za ▫$n=2$▫ je ta rezultat znan že od prej. S tem je rešen ...dolgo časa nerešen problem, ki ga je postavil A. Pełczynski.
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