Abstract:
It is proved that, for a given finite set E, appropriate order relations ≤ can be defined on C(E) (the set of all systems of matroid minimal circuits)、R(E) (the set of all matroid rank functions) and F(E) (the set of all systems of matroid closed sets), respectively, such that (C(E),≤)、(R(E),≤) and (F(E),≤) are posets and isomorphic to (I(E),) (the set of all systems of matroid independent sets).
