位置：成果数据库 > 期刊 > 期刊详情页
拟第一可数空间和弱拟第一可数空间
  • ISSN号：1000-4424
  • 期刊名称：《高校应用数学学报：A辑》
  • 时间：0
  • 分类：O189.11[理学—数学;理学—基础数学]
  • 作者机构：[1]泰州师范高等专科学校数理科学系,江苏泰州225300, [2]四川大学数学学院,四川成都610064
  • 相关基金：国家自然科学基金（10971185）;中国博士后科学基金（20090461093）;江苏省博士后科研资助计划项目（0902064C）.致谢 感谢审稿人提出的有关分离性公理假设方面的修改意见!
作者： 沈荣鑫[1,2]
关键词： 拟第一可数空间, 弱拟第一可数空间, 遗传性, 可积性, quasi-first-countable spaces, weakly quasi-first-countable spaces, hereditary properties, productive properties
中文摘要：

讨论了拟第一可数空间和弱拟第一可数空间的遗传性和可积性,给出了一些反例来说明这两类空间在某些拓扑运算下的不封闭性,同时研究了它们具有遗传性和可积性的充要条件.

英文摘要：

It is discussed in this paper the hereditary properties and productive properties of quasi and weakly quasi-first-countable spaces. Some counter-examples are given to show that quasi and weakly quasi-first-countable spaces are not closed under certain topological operators. Also the sufficient and necessary conditions of the hereditary properties and productive properties of the two spaces are given.

同期刊论文项目
广义度量方法及其在D空间和传感器最优布局问题中的应用
期刊论文 102 会议论文 3 著作 2
同项目期刊论文
Pseudobounded or \omega-pseudobounded paratopological groups
On discrete spaces and AP-spaces
Semi-continuous function versions of Urysohn lemma
μ-separations in generalized topological spaces
\pi-Metrizable spaces and Strongly \pi-metrizable spaces
Spaces with \sigma-point-discrete \Aleph_0-weak bases
On an open problem for definable subsets of covering approximation spaces
A note on separation of diagonal
Two questions on rectifiable spaces and related conclusions
一类确定知识系统的性质
Generalized metric spaces with algebraic structures
\sigma-point-discrete cs*-networks and wcs*-networks
Some separations in covering approximation spaces
Open uniform (G) at non-isolated points and maps
Deploying four-connectivity and full-coverage wireless sensor networks
区间直觉模糊集的截集
关于拓扑对策中的I (K) I(K)问题
Optimal deployment patterns to Achieve full-coverage and k-connectivity wireless sensor networks
A note on transitively D-spaces
A note on rectifiable spaces
Countable closed sum theorems on wσ-spaces
Topologically subordered rectiable spaces and compactifications
Topological monomorphisms between free paratopological groups
wb-compact spaces and locally wb-compact spaces
Connected coveragein wireless networks with diretional antennas
边缘 s 映射、边缘紧映射与 k 半层空间
On rectifiable spaces and paratopological groups
Some characterizations of k\beta-spaces
Definable subsets in covering aproximation spaces
弱拟第一可数空间与映射
Remarks on some properties of decision rules
Maps on submetrizable spaces
An application of covering approximation spaces on network security
On weakly monotonically monolithic spaces
A note on the rank of diagonals
Characterizations of weak Cauchy sn-symmetric spaces
Some notes on closed sequence-covering maps
On spaces with a locally countable sn-networks
Complete generalized neighborhood systems
双层空间的刻画
拟第一可数和弱拟第一可数空间
An application of intelligent data analysis based on rough-set theory
不完备信息系统确定性和集对联系度的粗集拓展模型
Dual properties of subspaces in products of ordinals
Optimal multiple-coverage of Sensor Networks
An Applications of information systems on macro-economic climate index of China
A note on k-c-semistratifiable spaces and strong \beta-spaces
Metrizability of stratifible spaces
Some weak versions of the M1-spaces
Remarks on Ponomarev-systems
A note on monotone covering properties
Weak-open images of locally separable metric spaces
The Baire property in the remainders of semitopological groups
Properties of two types of covering-based rough sets
Some remarks on sn-metrizable spaces
Charaterizations of \delta-stratifiable spaces
On so-metrizable spaces
几类度量空间映像的研究
A note on paratopological groups with countable networks of sequential neighborhoods
The k-quotient images of metric spaces
A note on countably bi-quotient mappings
Characterizations of quasi-pseudo-metrizable spaces
A note on the extent of two subclasses of star countable spaces
Star operations on sn-networks
Some properties on \aleph_0-weak bases
Regular bases at non-isolated points and metrization theorems
K半层空间的性质及相关问题
R-factorizability and ω-uniform continuity in topological groups
On paratopological groups
A note on topological groups and their remainders
On compact-covering and sequence-covering images of metric spaces
The D-property of monotone covering properties and related conclusions
The D-property which relates to certain covering properties
随机信息系统属性重要性的等价刻画及其约简
基于优势-等价关系下不协调目标信息系统的分布约简
弱基与度量空间的紧覆盖映像
On Spaces with a Locally Countable sn-network
The Completeness of Cone Metric Spaces
基于直觉模糊合成关系的直觉模糊粗糙集
WQN＊-空间与半连续函数
On AP-property of Function Spaces
边缘s映射、边缘紧映射与κ半层空间：
三参数直觉模糊集上的距离测度
关于k阶模糊关系的直觉模糊粗糙集
区间直觉模糊软截集（英文）
一般拓扑学中的一些问题及解答
μ-Separations in generalized topological spaces
On Pairwise Semi-Stratifiable Spaces
Spaces with σ-point-discrete N_0-weak bases
期刊信息
  • 《高校应用数学学报：A辑》
  • 北大核心期刊（2011版）
  • 主管单位:国家教育部
  • 主办单位:浙江大学 中国工业与应用数学学会
  • 主编：林正炎 李大潜
  • 地址：杭州市玉泉浙江大学数学系
  • 邮编：310027
  • 邮箱：amjcu@zjy.edu.cn
  • 电话：0571-87951602
  • 国际标准刊号：ISSN：1000-4424
  • 国内统一刊号：ISSN：33-1110/O
  • 邮发代号:
  • 获奖情况:
  • 国内外数据库收录:
  • 美国数学评论（网络版）,德国数学文摘,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:3669