摘要
证明了序列空间上的映射是连续映射当且仅当它是序列连续映射,这一结果减弱了通常要求的定义域空间的第一可数性.此外本文还给出了一个开映射,但不是Darboux-映射的例,回答了汪林,杨富春提出的一个问题.
We show that a mapping from a sequential space is continuous iff it is sequentially continuous, which improves a result by relaxing first-countability of domains to sequentiality. An example is also given to show that open mappings do not imply Darboux-mappings, which answers a question posed by Wang and Yang.
出处
《苏州大学学报(自然科学版)》
CAS
2006年第4期11-13,共3页
Journal of Soochow University(Natural Science Edition)