Between Open Sets and Semi-Open Sets

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...

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Bibliographic Details
Published inUniversitas scientiarum Vol. 23; no. 1; pp. 9 - 20
Main Authors Al Ghour, Samer, Mansur, Kafa
Format Journal Article
LanguageEnglish
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
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Summary: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 and examples regarding our new concepts. In particular, we obtain some characterizations of ω_s-continuous functions.
ISSN:0122-7483
2027-1352
DOI:10.11144/Javeriana.SC23-1.bosa