Meet continuous lattices, limit spaces, and L-topological spaces☆
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Cited by (12)
A category of complete residuated lattice-value neighborhood groups
2022, Fuzzy Sets and SystemsExtensionality and E-connectedness in the category of ⊤-convergence spaces
2021, Fuzzy Sets and SystemsCitation 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].
On adjunctions between Lim, SL-Top, and SL-Lim
2011, Fuzzy Sets and SystemsOn the relationship between limit spaces, many valued topological spaces, and many valued preorders
2009, Fuzzy Sets and SystemsOn many-valued stratified L-fuzzy convergence spaces
2008, Fuzzy Sets and Systems
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This work is supported by NSFC, 973 Programs (2002cb312200), and Huo Yingdong Education Foundation.