|
|
 |
| |
|
|
|
An Extension of a General Model for Matroids on Closure Spaces to Spaces |
|
|
|
PP: 23-28 |
|
|
|
doi:10.18576/msl/060104
|
|
|
|
Author(s) |
|
|
|
Hua Mao,
|
|
|
|
Abstract |
|
|
| A matroid is one of the most important structures in combinatorics. Many researchers never stop the expansion and discussion for classical matroids. Recently, Faigle and Fujishige present a general model for matroids. The general matroids of Faigle and Fujishige based on closure spaces and co-closure spaces respectively. This article will improve and generalize the general matroids of Faigle and Fujishige from closure spaces to that on spaces, and from co-closure spaces to co-spaces. As well known, most of spaces are not closure spaces and most of co-spaces are not co-closure spaces. Hence, all these works provide a cornerstone for the applications of the theory of the general model of Faigle and Fujishige |
|
|
|
|
|
|
|
