Abstract
In this paper, a connectedness in stratified L-generalized convergence spaces, is defined and discussed. This connectedness is different from Jäger’s connectedness, in particular, it is defined for L-subsets however Jäger’s connectedness is defined for crisp subsets. Thus this give a partly answer to Jäger’s question in 2016: define a connectedness for L-subsets in lattice-valued convergence spaces. Then the basic properties of this connectedness are discussed.
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