%0 Journal Article
%T Some properties of cyclic flats of an infinite matroid
%A Hua Mao
%J Online Journal of Analytic Combinatorics
%D 2013
%I University of Auckland
%X We prove that when a pre-independence space satisfies some natural properties, then its cyclic flats form a bounded lattice under set inclusion.  Additionally, we show that a bounded lattice is isomorphic to the lattice of cyclic flats of a pre-independence space.  We also prove that the notion of cyclic width gives rise to dual-closed and minor-closed classes of B-matroids.  Finally, we find a difference between finite matroids and B-matroids by using the notion of well-quasi-ordering.
%U http://analytic-combinatorics.org/index.php/ojac/article/view/71