Locally α-compact spaces based on continuous valued logic
Sayed, O. (2024). Locally α-compact spaces based on continuous valued logic. EKB Journal Management System, 22(1), 70-82. doi: 10.1016/j.joems.2013.06.003
O.R. Sayed. "Locally α-compact spaces based on continuous valued logic". EKB Journal Management System, 22, 1, 2024, 70-82. doi: 10.1016/j.joems.2013.06.003
Sayed, O. (2024). 'Locally α-compact spaces based on continuous valued logic', EKB Journal Management System, 22(1), pp. 70-82. doi: 10.1016/j.joems.2013.06.003
Sayed, O. Locally α-compact spaces based on continuous valued logic. EKB Journal Management System, 2024; 22(1): 70-82. doi: 10.1016/j.joems.2013.06.003

Locally α-compact spaces based on continuous valued logic

Journal of the Egyptian Mathematical Society
Volume 22, Issue 1, 2014, Page 70-82  XML PDF (623.04 K)
Document Type: Original Article
DOI: 10.1016/j.joems.2013.06.003
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Author
O.R. Sayed
Department of Mathematics, Faculty of Science, Assiut University, Assiut 71516, Egypt
Abstract
This paper is a continuation of [1]. That is, it considers fuzzifying topologies, a special
case of I-fuzzy topologies (bifuzzy topologies), introduced by Ying [2]. It investigates topological
notions defined by means of a-open sets when these are planted into the framework of Ying’s fuzzifying
topological spaces (by Łukasiewicz logic in [0, 1]). Other characterizations of fuzzifying acompactness are given, including characterizations in terms of nets and a-subbases. Several characterizations of locally a-compactness in the framework of fuzzifying topology are introduced and the mapping theorems are obtained.
Keywords
Łukasiewicz logic; Fuzzifying topology; Fuzzifying compactness; a-Compactness; Fuzzifying locally compactness; Locally a-compactness
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