Le théorème du minimax et la théorie fine du potentiel
Annales de l'Institut Fourier, Tome 15 (1965) no. 1, pp. 65-87.

Pour tout noyau semi-continu inférieurement la capacité d’un ensemble compact est égale à une quantité duale, la contenance. Ce théorème équivaut à une extension du théorème du minimax dans la théorie des jeux. L’identité entre capacité et contenance est la clef d’une théorie de la capacitabilité des ensembles analytiques par rapport à un noyau assez général, assujetti à des conditions de régularité habituelles, mais pas nécessairement au principe du maximum. La quasi-continuité des potentiels par rapport à un tel noyau joue un rôle essentiel dans la théorie.

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Fuglede, Bent. Le théorème du minimax et la théorie fine du potentiel. Annales de l'Institut Fourier, Tome 15 (1965) no. 1, pp. 65-87. doi : 10.5802/aif.196. https://www.numdam.org/articles/10.5802/aif.196/

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