Monoidal closedness of $L$-generalized convergence spaces

Authors

  • J. Fang Department of Mathematics, Ocean University of China, 238 Songling Road, 266100, Qingdao, P.R. China
  • L. Zhang Department of Mathematics, Ocean University of China, 238 Songling Road, 266100, Qingdao, P.R. China
  • W. Wang Department of Mathematics, Ocean University of China, 238 Songling Road, 266100, Qingdao, P.R. China
Abstract:

In this paper, it is shown that the category of stratified $L$-generalized convergence spaces is monoidal closed if the underlying truth-value table $L$ is a complete residuated lattice. In particular, if the underlying truth-value table $L$ is a complete Heyting Algebra, the Cartesian closedness of the category is recaptured by our result.

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Journal title

volume 16  issue 5

pages  139- 153

publication date 2019-10-01

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