On stratified L-convergence spaces: Fischer's diagonal axiom

Li Lingqiang; Jin Qiu; Hu Kai

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On stratified L-convergence spaces: Fischer's diagonal axiom

机译：在分层L收敛空间上：Fischer的对角公理

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摘要

In the classical theory of convergence spaces, Fischer's diagonal axiom ensures that a generalized convergence space is topological. In this note, we present a lattice-valued Fischer diagonal axiom, and show that this axiom leads to the conclusion that a stratified L-convergence space is L-topological. (C) 2014 Elsevier B.V. All rights reserved.

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来源
《Fuzzy sets and systems》 |2015年第15期|31-40|共10页
作者
Li Lingqiang; Jin Qiu; Hu Kai;
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作者单位

Liaocheng Univ, Dept Math, Liaocheng 252059, Peoples R China;

Liaocheng Univ, Dept Math, Liaocheng 252059, Peoples R China;

Liaocheng Univ, Dept Math, Liaocheng 252059, Peoples R China;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
Topology; Stratified L-convergence space; Stratified L-topological space; Fischer's diagonal axiom;

机译：拓扑;分层L-收敛空间;分层L-拓扑空间;Fischer的对角公理;

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专利

1. On stratified L-convergence spaces: Pretopological axioms and diagonal axioms [J] . Lingqiang Li, Qiu Jin Fuzzy sets and systems . 2012,第期

机译：在分层L收敛空间上：拓扑公理和对角公理
2. Alexandrov L-filters and Alexandrov L-convergence spaces [J] . Ko Jung Mi, Kim Yong Chan Journal of intelligent & fuzzy systems: Applications in Engineering and Technology . 2018,第3期

机译：Alexandrov L-Filters和Alexandrov L-Convergence空间
3. Stratified Diagonal Layered Space-Time Architectures: Signal Processing and Information Theoretic Aspects [J] . Mathini Sellathurai, Gerard J. Foschini IEEE Transactions on Signal Processing . 2003,第11期

机译：分层对角分层时空体系结构：信号处理和信息理论方面
4. On the relationship between (diagonal) filters and (diagonal) stratified lattice-valued filters [C] . Li Lingqiang Fuzzy Systems and Knowledge Discovery (FSKD), 2012 9th International Conference on . 2012

机译：关于（对角线）滤波器与（对角线）分层晶格值滤波器之间的关系
5. Examples of diagonal operators that fail spectral synthesis on spaces of analytic functions [D] . Henthorn, Melanie Lea 2011

机译：对角算子在解析函数空间上无法进行频谱综合的示例
6. On the embedding of convex spaces in stratified L-convex spaces [O] . Qiu Jin, Lingqiang Li -1

机译：关于分层L-凸空间中凸空间的嵌入
7. Intuitionistic logic with two Galois connections combined with Fischer Servi axioms [O] . Dzik, Wojciech, Järvinen, Jouni, Kondo, Michiro 2012

机译：具有两个Galois连接的直觉逻辑与Fischer相结合 servi公理

On stratified L-convergence spaces: Fischer's diagonal axiom

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