Monoidal closedness of the category of T-semiuniform convergence spaces

نویسندگان

چکیده

Lattice-valued semiuniform convergence structures are important mathematical in the theory of lattice-valued topology. Choosing a complete residuated lattice $L$ as background, we introduce new type filters using tensor and implication operations on $L$, which is called $\top$-filters. By means $\top$-filters, propose concept $\top$-semiuniform counterpart structures. Different from usual discussions structures, show that category spaces topological monoidal closed when without any other requirements.

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ژورنال

عنوان ژورنال: Hacettepe journal of mathematics and statistics

سال: 2022

ISSN: ['1303-5010']

DOI: https://doi.org/10.15672/hujms.1065246