본문 바로가기
KERD
논문KCI 등재

Two Variations of the Choquet Game

Jiling Cao|Zbigniew Piotrowski
경북대학교 자연과학대학 수학과|2004.12|Kyungpook Mathematical Journal|제44권 제4호|pp. 495-504

2

조회

0

다운로드

0

인용

0

참고문헌

주제분류수학

초록

Abstract

The Banach-Mazur game and the Choquet game are revisited to deduce new characterizations of sieve (almost) complete spaces. Some classical results of Choquet are extended to larger classes of spaces. By using the notion of sieve (almost) completeness, certain types of topological closed graph and open mapping theorems are established.

참고문헌 (11)

  1. "Completeness properties designed for recognizing Baire spaces", 116 (1974)
  2. "Almost continuous functions with closed graphs", 25, pp.428~434 (1982)
  3. "On the closed graph and open mapping theorems", 24 (1976)
  4. "Lectures on Analysis I", new york (1969)
  5. "Concerning abstract spaces", 17 (1950)
  6. "Baire spaces", 141 (1977)
  7. "Czech. Math. J.", 35 110 (1991)
  8. "Closed graph and open mapping theorems in certain topologically completespaces", 6 (1974)
  9. "on the 50th anniversary of the Banach-Mazur game" (1987)
  10. "General topology and its relations to modern analysis and algebra"
  11. "Topological spaces that are ？？-favorable for a Player with prefect information" (1975)

관련 논문AI추천

Balancedness of Integer Domination Games김혜경, Qizhi Fang대한수학회 · 대한수학회지2006 · 제43권 제2호A note on a Choquet-Deny-type theoremJo\~{a}o Bosco Prolla, M\'arcia Sayuri Kashimoto대한수학회 · 대한수학회보2006 · 제43권 제4호Balancedness and Concavity of Fractional Domination Games김혜경, Qizhi Fang대한수학회 · 대한수학회보2006 · 제43권 제2호On set-valued Choquet integrals and convergence theorems (II)장이채, 전종득, TaeKyun Kim대한수학회 · 대한수학회보2003 · 제40권 제1호A note on the Choquet Boundary of Tensor Products황선욱, Oh-Sang Kwon한국수학교육학회 · 이론수학과 교직수학2004 · 제11권 제2호A note on the monotone interval-valued set function defined by the interval-valued Choquet integral장이채대한수학회 · 대한수학회논문집2007 · 제22권 제2호

이 간행물의 다른 논문 (15건)

An Extension Theory Analogue of Menger-Urysohn Addition Theorem for Stratifiable SpacesVera Tonicpp. 469-472On Certain Unified Integrals Involving General Class of Polynomials and the Multivariable H-functionShweta Mittal, Mridula Gargpp. 473-479On the Laplace Transform and the Generalized Weyl Fractional Integral Operator Involving the H-functionS. P. Goyal, R. Mukherjee, R. Jainpp. 481-493Cauchy Completeness of κ-framesM. M. Ebrahimi, M. Mahmoudi, M. Vojdani Tabatabaeepp. 505-510Normal Interpolation on Ax=y in CSL-Algebra ALG LYoung Soo Jo, Joo Ho Kangpp. 511-517
원문 보기