摘要
从拓扑学的角度研究拟阵,引入了拟阵间的连续映射、开映射、闭映射、同胚映射以及子拟阵和商拟阵等概念,研究了拟阵在这些映射下的性质,给出了一些等价条件,讨论了拟阵中的独立集、相关集、极小圈在映射下是否保持等问题.
From the topological angle and byintroducing the definitions of continuous mapping, open mapping, closed mapping,homeomorphic mapping, submatroid and quotient matroids, under which the qualities of matroids are studied, and some equivalent condictions are obtained. Inadditional, whether the independent set,dependent set and circuit of matroids are held under these mappings is discussed.
出处
《重庆大学学报(自然科学版)》
EI
CAS
CSCD
北大核心
2006年第7期92-94,共3页
Journal of Chongqing University
基金
国家自然科学基金资助项目(10271069)
陕西师范大学研究生创新基金资助项目
关键词
拟阵
连续映射
同胚映射
范畴
matroid, continuous mapping
homeomorphic mapping
category