no. 2
Fatou-Naïm-Doob limit theorems in the axiomatic system of Brelot
Annales de l'Institut Fourier, Tome 16 (1966) no. 2, pp. 455-467.

On étend les résultats de Fatou-Naïm-Doob sur l’allure à la frontière “fine” des fonctions surharmoniques dans la théorie axiomatique de M. Brelot en utilisant seulement les axiomes 1,2,3, l’espace de base ayant une base dénombrable.

@article{AIF_1966__16_2_455_0,
     author = {Gowrisankaran, Kohur},
     title = {Fatou-Na\"\i m-Doob limit theorems in the axiomatic system of Brelot},
     journal = {Annales de l'Institut Fourier},
     pages = {455--467},
     publisher = {Institut Fourier},
     volume = {16},
     number = {2},
     year = {1966},
     doi = {10.5802/aif.248},
     zbl = {0145.15103},
     mrnumber = {35 \#1802},
     language = {en},
     url = {archive.numdam.org/item/AIF_1966__16_2_455_0/}
}
Gowrisankaran, Kohur. Fatou-Naïm-Doob limit theorems in the axiomatic system of Brelot. Annales de l'Institut Fourier, Tome 16 (1966) no. 2, pp. 455-467. doi : 10.5802/aif.248. http://archive.numdam.org/item/AIF_1966__16_2_455_0/

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[3] R. M. Hervé, Ann. Inst. Fourier, t. XII (1962), 415-571. | Numdam | MR 25 #3186 | Zbl 0101.08103