Elsevier

Fuzzy Sets and Systems

Volume 118, Issue 3, 16 March 2001, Pages 547-554
Fuzzy Sets and Systems

The inverse limit in the category of topological molecular lattices

https://doi.org/10.1016/S0165-0114(99)00005-6Get rights and content

Abstract

In this paper, we first introduce the definition of an inverse system in the category of topological molecular lattices, and give the structure of the inverse limit of an inverse system. Then we establish the concept of a mapping between two inverse systems, and induce the concept of a continuous mapping between the inverse limits of two inverse systems. Finally, we discuss a series of properties of continuous mappings. Therefore, the difficult problem in the theory of topological molecular lattices is solved.

References (7)

  • B. Zhao, The limits in the category of molecular lattices and its applications, Doctoral thesis of Sichuan University,...
  • B. Zhao

    The limits in the category of topological molecular lattices

    Chinese Sci. Bull.

    (1996)
  • G. Gierz et al., A Compendium of Continuous Lattices, Springer, Berlin,...
There are more references available in the full text version of this article.

Cited by (0)

This work was supported by the National Natural Science Foundation of China (Grant No. 19701020) and the Teaching and Research Award for Outstanding Young Teachers in Higher Education Institutions of MOE, P.R. of China.

View full text