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SPIS RZECZY WSTĘP § 1. Teoria mnogości, a w szczególności teoria mocy zbiorów.................. 1 § 2. Przestrzenie kartezjańskie R n ........................................ 8 § 3. Przestrzenie metryczne i przestrzenie ℒ*................................ 17 § 4. Funkcje rzeczywiste w przestrzeniach R n .............................. 19 KSIĘGA PIERWSZA ELEMENTARNA TEORIA PRAWDOPODOBIEŃSTWA ROZDZIAŁ I. Algebra Boole’a § 1. Uwagi wstępne, treść rozdziału.............................. 23 § 2. Określenie ciał...

Sur les séries de puissances

Stefan Mazurkiewicz — 1922

Fundamenta Mathematicae

Le but de cette note est de démontrer: Théorème: A étant un ensemble fermé situé sur la circonférence |z|=1, que je désignerai par C, il existe: 1. une série de puissances à coefficients tendant vers zéro, convergente dans tout point de A, divergente dans tout point de C-A; 2. une série de puissances à coefficients tendant vers zéro, divergente dans tout point de A, convergente dans tout point de C-A;

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