Between Open Sets and Semi-Open Sets

• Published in: Universitas scientiarum Vol. 23; no. 1; pp. 9 - 20
• Main Authors: Al Ghour, Samer, Mansur, Kafa
• Format: Journal Article
• Language: English; Spanish; Portuguese
• Published: Bogotá Editorial Pontificia Universidad Javeriana 2018; Facultad de Ciencias de la Pontificia Universidad Javeriana de Bogotá; Pontificia Universidad Javeriana
• Subjects: MULTIDISCIPLINARY SCIENCES; Nominations; Semi-continuous function; Semi-open set; Tornadoes; ω-open set; Conjunto ω-abierto; Conjunto ω-aberto; Semi-open set; Conjunto semiabierto; Función semicontinua; ω-open set; Semi-continuous function; Conjunto semiaberto; Função semicontínua

We introduce and investigate ω_s-open sets as a new class of sets which are strictly between open sets and semi-open sets. Then we use ω_s-open sets to introduce ω_s-continuous functions as a new class of functions between continuous functions and semi-continuous functions. We give several results a...