QUANTALE-VALUED WIJSMAN CONVERGENCE

Authors

  • G. Jäger School of Mechanical Engineering, University of Applied Sciences Stralsund, 18435 Stralsund, Germany Author

Keywords:

Quantale-valued metric, probabilistic metric, quantale-valued convergence, hyperspace, Wijsman convergence, Wijsman topology

Subjects:

54A20, 54A40, 54B20, 54E35, 54E70

Abstract

For the hyperspace of non-empty closed sets of a quantale-valued metric space, we define a quantale-valued convergence tower which generalizes the classical Wijsman convergence. We characterize this quantale-valued convergence tower by a quantale-valued neighbourhood tower and show that it is uniformizable. Finally we study compactness and completeness of the quantale-valued Wijsman convergence tower.

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Published

2021-07-15

Issue

Vol. 73 No. 3 (2021): Vol. 73, Issue 3

Section

Articles

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Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.