Game-theoretic approach to the hereditary Baire property of Cp(Nf)

• Autorzy: Michalewski H.
• Języki publikacji: EN

Abstrakty

EN

We characterize second category P-filters on omega in terms of topological games. These characterizations use strong Choquet game gamma in the function space C[sub p](N[sub F]) associated with the filter F and a certain game delta played on the filter F. This complements earlier characterizations of hereditary Baire spaces C[sub p](N[sub F]), given by Gul'ko, Sokolov and Marciszewski.

Słowa kluczowe

EN

Choquet game; function space; hereditary Baire space; P-filter

PL

przestrzenie funkcyjne; topologia

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 1998
• Tom: Vol. 46, no. 2
• Strony: 135--140
• Opis fizyczny: Bibliogr. 7 poz.,

Twórcy

autor

Michalewski H.

• Department of Mathematics, Informatics and Mechanics, Warsaw University, Banacha 2, 02-097 Warszawa, Poland

Bibliografia

• [1] W. Hurewicz, Relativ perfekte Teile von Punktmengen nnd Mengen (A), Fund. Math., 12 (1928) 78-109.
• [2] W. Marciszewski, P-filters and hereditary Baire spaces, preprint.
• [3] G. Debs, Espaces héréditairement de Baire, Fund. Math., [29 (1988) 199-206.
• [4] S. P. Gul'ko, G. A. Sokolov, P-points in N* and the spaces of continuous functions, preprint.
• [5] C. Laflamme, Filter games and combinatorial properties of strategies, Соntemporary Math., 192 (1996) 51-67.
• [6] Т. Bartoszyński, H. Judah, On the Structure of the Real Line, A.K. Peters Ltd., Wellesley, Mass. 1995
• [7] A. Kechris, Classical Descriptive Set Theory, Springer 1995.