Graphs of Continuous Functions in Topological Spaces

Key Points

• The study introduces new definitions like β*-open sets, expanding the understanding of topological spaces.
• Characterizations of β*-continuous functions reveal new insights into continuity in relation to β*-open sets.
• Explorations of (β*, τ)-graphs provide novel frameworks for analyzing functions within topological contexts.
• Properties of these concepts enhance the foundational knowledge of continuity and connectivity in mathematics.