Article

Connectedness for lattice-valued subsets in lattice-valued convergence spaces

Published in: Quaestiones Mathematicae
Volume 42 , issue 2 , 2019 , pages: 135–150

DOI: 10.2989/16073606.2018.1441920

Author(s): Qiu Jin Department of Mathematics, P.R. China , Lingqiang Li Department of Mathematics, P.R. China , Yanrui Lv Department of Mathematics, P.R. China , Fangfang Zhao Department of Mathematics, P.R. China , Juan Zou School of Mathematical Sciences, P.R. China

Keywords: 54A40 , 06D10 , 54A40 , 06D10

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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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