[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.5666/KMJ.2011.51.3.311

Some Properties of the Closure Operator of a Pi-space

Mao, Hua (Department of Mathematics, Hebei University)
Liu, Sanyang (Department of Mathematics, Xidian University)

Publication Information

Kyungpook Mathematical Journal / v.51, no.3, 2011 , pp. 311-322 More about this Journal

Abstract

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.

Keywords

pi-space; closure operator; closed set; dual; automorphism;

Citations & Related Records

Times Cited By SCOPUS : 0

Reference

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