Some Properties of the Closure Operator of a Pi-space
Hua Mao, Sanyang Liu · Kyungpook mathematical journal · 2011
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.