Alexandrov L -topologies and Alexandrov L -convergence structures

Bijan Davvaz, Yong Chan Kim · Journal of Intelligent & Fuzzy Systems · 2018

In this paper, we introduce the concepts of Alexandrov L -neighborhood filters, Alexandrov L -topologies and Alexandrov L -convergence structures in complete residuated lattices. We investigate the Galois correspondences among Alexandrov L -neighborhood filters, Alexandrov L -topologies and Alexandrov L -convergence structures. Moreover, we investigate their topological properties and give their examples.

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