关于n维可拓集合的研究

应用科学学报 ›› 2001, Vol. 19 ›› Issue (2): 165-169.

关于n维可拓集合的研究

蔡国梁, 丁占文

江苏理工大学理学院, 江苏镇江 212013

收稿日期:2000-04-02 修回日期:2000-09-14 出版日期:2001-06-30 发布日期:2001-06-30
作者简介:蔡国梁(1956-),male,Henan Suiping,Associate Professor.
基金资助:
Project Supported by the National Science Foundation of China (79570020)

Study of n-dimensional Extension Set

CAI Guo-liang, DING Zhan-wen

Faculty of Science, Jiangsu University of Science and Technology, Zhenjiang 212013, China

Received:2000-04-02 Revised:2000-09-14 Online:2001-06-30 Published:2001-06-30
Supported by:
Project Supported by the National Science Foundation of China (79570020)

摘要/Abstract

摘要： 可拓学是研究事物的可拓性和事物开拓的规律和方法,并用以解决矛盾问题的科学.可拓学的定量化工具是可拓数学,可拓集合是可拓数学的基础.本文给出了n维可拓集合、n维物元可拓集合及其正域、负域、可拓正域、可拓负域、稳定正域、稳定负域的定义,并讨论了有关的运算和性质,最后提出了m维正域等概念.这些结果丰富了n维可拓集合理论.

关键词: 可拓域, 关联函数, n维可拓集合

Abstract: In this paper, the definitions of the n-dimensional extension set and its extension field were first given. Then the operations and properties of the n-dimensional extension set were discussed. The concept of the m-dimensional positive field was given finally. The results obtained may enrich the theory of the n-dimensional extension set.

Key words: n-dimensional extension set, correlation function, extension field

中图分类号:

蔡国梁, 丁占文. 关于n维可拓集合的研究[J]. 应用科学学报, 2001, 19(2): 165-169.

CAI Guo-liang, DING Zhan-wen. Study of n-dimensional Extension Set[J]. Journal of Applied Sciences, 2001, 19(2): 165-169.