QUANTALE-VALUED GAUGE SPACES

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JAGER G.; YAO W.

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Journal Paper

Paper Information

Journal: Iranian Journal of Fuzzy Systems Year:2018 | Volume:18 | Issue:1 Page(s): 103-122

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Information Journal Paper

Title

QUANTALE-VALUED GAUGE SPACES

Author(s)

JAGER G. | YAO W. | Issue Writer Certificate

Keywords

L-GAUGE SPACEQ2

L-APPROACH SPACEQ2

L-METRIC SPACEQ2

CONTINUITY SPACEQ2

Abstract

We introduce a quantale-valued generalization of approach spaces in terms of quantale-valued gauges. The resulting category is shown to be topological and to possess an initially dense object. Moreover we show that the category of quantale-valued approach spaces defined recently in terms of quantale-valued closures is a coreflective subcategory of our category and, for certain choices of the quantale, is even isomorphic to our category. Finally, the category of quantale-valued metric spaces is shown to be coreflectively embedded in our category.

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APA: Copy

JAGER, G., & YAO, W.. (2018). QUANTALE-VALUED GAUGE SPACES. IRANIAN JOURNAL OF FUZZY SYSTEMS, 18(1 ), 103-122. SID. https://sid.ir/paper/113294/en

Vancouver: Copy

JAGER G., YAO W.. QUANTALE-VALUED GAUGE SPACES. IRANIAN JOURNAL OF FUZZY SYSTEMS[Internet]. 2018;18(1 ):103-122. Available from: https://sid.ir/paper/113294/en

IEEE: Copy

G. JAGER, and W. YAO, “QUANTALE-VALUED GAUGE SPACES,” IRANIAN JOURNAL OF FUZZY SYSTEMS, vol. 18, no. 1 , pp. 103–122, 2018, [Online]. Available: https://sid.ir/paper/113294/en

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