拟阵间的连续映射和子拟阵以及商拟阵

Continuous Mapping Between the Matroids Submatroids and Quotient Matroids

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.