THE CATEGORY OF T-CONVERGENCE SPACES AND ITS CARTESIAN-CLOSEDNESS

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YU QIAN; FANG JINMING

مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

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Journal: Iranian Journal of Fuzzy Systems Year:2017 | Volume:14 | Issue:3 Page(s): 121-138

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Information Journal Paper

Title

THE CATEGORY OF T-CONVERGENCE SPACES AND ITS CARTESIAN-CLOSEDNESS

Author(s)

YU QIAN | FANG JINMING | Issue Writer Certificate

Keywords

T-FILTERQ2

T-CONVERGENCEQ2

CARTESIAN-CLOSEDNESSQ2

TOPOLOGICAL CATEGORYQ2

REFLECTIONQ2

STRONG L-TOPOLOGYQ2

Abstract

In this paper, we de ne a kind of lattice-valued convergence spaces based on the notion of T- filters, namely T-CONVERGENCE spaces, and show the category of T-CONVERGENCE spaces is Cartesian-closed. Further, in the lattice valued context of a complete MV -algebra, a close relation between the category of T-CONVERGENCE spaces and that of strong L-topological spaces is established. In details, we show that the category of strong L-topological spaces is concretely isomorphic to that of strong L-topological T-CONVERGENCE spaces categorically and bireflectively embedded in that of T-CONVERGENCE spaces.

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APA: Copy

YU, QIAN, & FANG, JINMING. (1396). رسته فضاهای T- همگرا و بسته بودن دکارتی آنها. مجله سیستم های فازی ایران, 14(3 ), 121-138. SID. https://sid.ir/paper/113351/en

Vancouver: Copy

YU QIAN, FANG JINMING. رسته فضاهای T- همگرا و بسته بودن دکارتی آنها. مجله سیستم های فازی ایران[Internet]. 1396;14(3 ):121-138. Available from: https://sid.ir/paper/113351/en

IEEE: Copy

QIAN YU, and JINMING FANG, “رسته فضاهای T- همگرا و بسته بودن دکارتی آنها,” مجله سیستم های فازی ایران, vol. 14, no. 3 , pp. 121–138, 1396, [Online]. Available: https://sid.ir/paper/113351/en

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