Elsevier

Fuzzy Sets and Systems

Volume 140, Issue 3, 16 December 2003, Pages 479-487
Fuzzy Sets and Systems

Meet continuous lattices, limit spaces, and L-topological spaces

https://doi.org/10.1016/S0165-0114(03)00134-9Get rights and content

Abstract

In this paper, a systematic investigation of the relationship between meet continuous lattices, limit spaces, and L-topological spaces is given. It is a continuation of the investigation on this topic by Höhle (2000, 2001). The relationship between the Lowen functors and the functors introduced by Höhle (2000, 2001) is made clear.

References (17)

There are more references available in the full text version of this article.

Cited by (12)

  • Extensionality and E-connectedness in the category of ⊤-convergence spaces

    2021, Fuzzy Sets and Systems
    Citation Excerpt :

    In the realm of lattice-valued convergence spaces, Jäger applied Preuss' connectedness concept to stratified L-generalized convergence spaces with the underlying lattice L being complete Heyting algebra [22], and after [22], Li with coauthors [28] defined and discussed Jäger's connectedness of lattice-valued subsets in stratified L-generalized convergence spaces. For a more extent of stratified L-generalized convergence spaces, readers can refer to Boustique and Richardson [3], Craig and Jäger [4], Fang [6,8–10], Flores and others [12], Jäger [18,19], Jäger and Burton [20], Li [26], Orpen and Jäger [32], Pang [33,34], Yao [44] and others, and further for the relationships of limit spaces, latticed-valued convergence spaces and lattice-valued topological spaces, readers refer to Fang [7], Jäger [21], Li [23–25], Zhang [48] and others. In lattice-valued topology, we find that there are some papers of generalizing classical connectedness and different concepts resulted, see e.g. [5,17,30,38].

View all citing articles on Scopus

This work is supported by NSFC, 973 Programs (2002cb312200), and Huo Yingdong Education Foundation.

View full text