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SPIS RZECZY WSTĘP § 1. Teoria mnogości, a w szczególności teoria mocy zbiorów.................. 1 § 2. Przestrzenie kartezjańskie ........................................ 8 § 3. Przestrzenie metryczne i przestrzenie ℒ*................................ 17 § 4. Funkcje rzeczywiste w przestrzeniach .............................. 19 KSIĘGA PIERWSZA ELEMENTARNA TEORIA PRAWDOPODOBIEŃSTWA ROZDZIAŁ I. Algebra Boole’a § 1. Uwagi wstępne, treść rozdziału.............................. 23 § 2. Określenie ciał...
Le but de cette note est de démontrer: Théorème: Prémisse: A est un domaine plan. Thèses: il n'existe aucune [il existe une] décomposition A=A_1+A_2 telle que 1. A_1 × A_2 = 0; 2. A_1 et A_2 sont punctiformes; 3. A_1 est F_{σ} (donc A_2 est G_{δ}) [A_1 est F_{σδ} (donc A_2 est G_{σδ})];
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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