关于1-序列商映射

引进了1-序列商映射，证明了1-序列商映射象保持sm-第一可数空间．作为这一结果的一个应用，本文证明了几乎开，闭映射保持度量空间，g-度量空间，sm-度量空间．此外本文还证明了度量空间上的1-序列商，紧映射是1-序列覆盖映射．这些结果改进并推广了广义度量空间映射象的有关理论．     

关于统计序列紧空间

在一般拓扑空间中,引入了序列紧空间的统计定义并讨论其相应的拓扑性质,深化了拓扑群与可度量化空间中关于序列紧空间的一些结果.     

推理闭包空间之间的连续映射及商映射

对推理闭包空间之间的关系进行了研究。结合拓扑学的思想和方法,在推理闭包空间之间引入了连续映射和商映射的概念,讨论了连续映射和商映射的基本性质以及它们之间的关系。为建立推理闭包空间范畴作了必要的准备工作。     

商映射的乘积是商映射的充分条件

整理了关于商映射以及乘积空间的一些性质,得出了关于两个映射的乘积成为商映射的若干充分条件.     

关于三商映射

三商映射是完备映射和开映射的共同推广。本文综述三商映射的理论，论术这三商映射，开映射，紧覆盖映射，诱导完备映之间的一些转换关系，提出了几个供进一步研究的问题。     

统计版本的序列空间和Fréchet-Urysohn空间（英文）

研究了统计版本的的序列空间和Frechet-Urysohn空间,获得了一些有趣的性质.     

序列连通空间

序列连通性具有许多相似于连通的性质．本文讨论了拓扑空间的序列连通性，并给出了序列连通空间的刻面及其性质．     

G序列紧空间

基于G方法,在一般的集合中引入了G序列紧集,讨论了其基本性质,研究了在拓扑空间下其与序列紧,可数紧之间的关系,并论证了将方法定义为理想收敛时,G序列紧空间的应用.推广了序列紧与可数紧的一些经典结果.     

Orlicz序列空间的弱收敛序列系数

本文给出了Orlicz序列空间的弱收敛序列系数的表达式.     

到序列空间的乘子

这篇论文刻画了 (Ap,α,lq) (0

0 ,p ≤ q≤∞ )的特征 ,作为其推论 ,获得了 (Al;lq)、(Hp,lq)、(Gp,lq)和 (Bp,lq) (0

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