Open AccessLocally α-compact spaces based on continuous valued logic
Author(s) -
O. R. Sayed
Publication year - 2014
Publication title -
journal of the egyptian mathematical society
Language(s) - English
Resource type - Journals
eISSN - 2090-9128
pISSN - 1110-256X
DOI - 10.1016/j.joems.2013.06.003
Subject(s) - mathematics , compact space , network topology , topological space , fuzzy logic , continuation , topology (electrical circuits) , discrete mathematics , pure mathematics , computer science , combinatorics , artificial intelligence , programming language , operating system
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 α-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 α-compactness are given, including characterizations in terms of nets and α-subbases. Several characterizations of locally α-compactness in the framework of fuzzifying topology are introduced and the mapping theorems are obtained