Some New Notions of Continuity in Generalized Primal Topological Space

Some New Notions of Continuity in Generalized Primal Topological Space

This study analyzes the characteristics and functioning of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msubsup><mi>S</mi><mi>g</mi><mo>∗</mo></msubsup></semantic...

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Bibliographic Details
Main Authors: Muhammad Shahbaz, Tayyab Kamran, Umar Ishtiaq, Mariam Imtiaz, Ioan-Lucian Popa, Fethi Mohamed Maiz
Format: Article
Language:English
Published: MDPI AG 2024-12-01
Series:Mathematics
Subjects:
generalized primal topological space
<i>τ<sub>g</sub></i>–<named-content content-type="inline-formula"><inline-formula> <mml:math id="mm8600"> <mml:semantics> <mml:msubsup> <mml:mi>S</mml:mi> <mml:mi>g</mml:mi> <mml:mo>∗</mml:mo> </mml:msubsup> </mml:semantics> </mml:math> </inline-formula></named-content>-continuous function
<i>τ<sub>g</sub></i>–<named-content content-type="inline-formula"><inline-formula> <mml:math id="mm8601"> <mml:semantics> <mml:msubsup> <mml:mi>S</mml:mi> <mml:mi>g</mml:mi> <mml:mo>∗</mml:mo> </mml:msubsup> </mml:semantics> </mml:math> </inline-formula></named-content>-homeomorphism
<i>τ<sub>g</sub></i>–<named-content content-type="inline-formula"><inline-formula> <mml:math id="mm8602"> <mml:semantics> <mml:msubsup> <mml:mi>S</mml:mi> <mml:mi>g</mml:mi> <mml:mrow> <mml:mo>∗</mml:mo> <mml:mo>#</mml:mo> </mml:mrow> </mml:msubsup> </mml:semantics> </mml:math> </inline-formula></named-content>-homeomorphism
<named-content content-type="equation"><inline-formula> <mml:math id="mm8403"> <mml:semantics> <mml:mrow> <mml:mi mathvariant="script">P</mml:mi> </mml:mrow> </mml:semantics> </mml:math> </inline-formula></named-content><i><sub>g</sub></i>–<named-content content-type="inline-formula"><inline-formula> <mml:math id="mm8603"> <mml:semantics> <mml:msubsup> <mml:mi>S</mml:mi> <mml:mi>g</mml:mi> <mml:mo>∗</mml:mo> </mml:msubsup> </mml:semantics> </mml:math> </inline-formula></named-content>-continuous function
<named-content content-type="equation"><inline-formula> <mml:math id="mm8401"> <mml:semantics> <mml:mrow> <mml:mi mathvariant="script">P</mml:mi> </mml:mrow> </mml:semantics> </mml:math> </inline-formula></named-content><i><sub>g</sub></i>–<named-content content-type="inline-formula"><inline-formula> <mml:math id="mm8604"> <mml:semantics> <mml:msubsup> <mml:mi>S</mml:mi> <mml:mi>g</mml:mi> <mml:mo>∗</mml:mo> </mml:msubsup> </mml:semantics> </mml:math> </inline-formula></named-content>-homeomorphism
Online Access:https://www.mdpi.com/2227-7390/12/24/3995
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