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Degrees of L -Continuity for Mappings between L -Topological Spaces

Author

Listed:
  • Zhenyu Xiu

    (College of Applied Mathematics, Chengdu University of Information Technology, Chengdu 610000, China)

  • Qinghua Li

    (School of Mathematics and Information Sciences, Yantai University, Yantai 264005, China)

Abstract

By means of the residual implication on a frame L , a degree approach to L -continuity and L -closedness for mappings between L -cotopological spaces are defined and their properties are investigated systematically. In addition, in the situation of L -topological spaces, degrees of L -continuity and of L -openness for mappings are proposed and their connections are studied. Moreover, if L is a frame with an order-reversing involution ′ , where b ′ = b → ⊥ for b ∈ L , then degrees of L -continuity for mappings between L -cotopological spaces and degrees of L -continuity for mappings between L -topological spaces are equivalent.

Suggested Citation

  • Zhenyu Xiu & Qinghua Li, 2019. "Degrees of L -Continuity for Mappings between L -Topological Spaces," Mathematics, MDPI, vol. 7(11), pages 1-16, October.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:11:p:1013-:d:280088
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