Kyungpook Mathematical Journal

  • 제51권3호
  • /
  • Pages.311-322
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  • 2011
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  • 1225-6951(pISSN)
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  • 0454-8124(eISSN)
경북대학교 자연과학대학 수학과 (Department of Mathematics, Kyungpook National University)
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Some Properties of the Closure Operator of a Pi-space

  • Mao, Hua (Department of Mathematics, Hebei University) ;
  • Liu, Sanyang (Department of Mathematics, Xidian University)
  • 투고 : 2010.04.16
  • 심사 : 2010.10.28
  • 발행 : 2011.09.23
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초록

In this paper, we generalize the definition of a closure operator for a finite matroid to a pi-space and obtain the corresponding closure axioms. Then we discuss some properties of pi-spaces using the closure axioms and prove the non-existence for the dual of a pi-space. We also present some results on the automorphism group of a pi-space.

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과제정보

연구 과제 주관 기관 : National Nature Science Foundation of China

참고문헌

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