id author title date pages extension mime words sentence flesch summary cache txt iajs-3938 Ali, Tabarak Ayad; Esmaeel, Rana B. ; Abdelaziz E. Radwan On -open sets 2025 7 .pdf application/pdf 3360 284 85 Functions 𝑣ia GΞ± βˆ—-o f Definition 3.6: Suppose αΆ‚:( Ο±,Ο„,G)β†’( Ο‘,πœβ€²,Gβ€²) is a function then : (1) GΞ± βˆ— -π‘π‘™π‘œπ‘ π‘’π‘‘ function, denoted by GΞ± βˆ— -𝑐 f if αΆ‚(Ο‚)∈ GΞ± βˆ— c(Ο‘) since Ο‚ ∈GΞ± βˆ— c(Ο±). The complement of GΞ± βˆ’ open set is the GΞ± -π‘π‘™π‘œπ‘ π‘’π‘‘ set, the set of all GΞ± -π‘œπ‘π‘’π‘› set denoted by GΞ± -π‘œ(β„˜) and the complement denoted by GΞ± -𝑐(β„˜). cache/iajs-3938.pdf txt/iajs-3938.txt