中文摘要：

给出连通的rectifiable空间是局部序列连通（或局部连通）的刻画,推广了拓扑群中的相应结果;利用rectifiable空间G中e的局部邻域基给出G是局部连通（或局部序列连通）的刻画;证明了若A是rectifiable空间G中的序列开子集,那么H=A是G的序列开rectifiable子空间.

英文摘要：

In this paper, some characterizations of a locally （sequentially） connected rectifiable space G are given under the condition that G is connected, which improves the corresponding result in topological groups; some characterizations of a locally （sequentially） connected rectifiable space G are given from the point of the local neighborhood base of the element e in G. It is also proved that if A is a sequentially open subset of a rectifiable space G, then H- （A） is a sequentially open rectifiable subspace of G.