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The closed graph and P-closed graph properties in general topology

About this Title

T. R. Hamlett and L. L. Herrington

Publication: Contemporary Mathematics
Publication Year: 1981; Volume 3
ISBNs: 978-0-8218-5004-6 (print); 978-0-8218-7589-6 (online)
DOI: https://doi.org/10.1090/conm/003
MathSciNet review: 629693

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Table of Contents

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Front/Back Matter

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Part I

• 1. Basic Definitions and Results
• 2. The Closed Graph and Minimal Topological Spaces
• 3. Some Applications to Functional Analysis
• 4. Non-continuous Functions and the Closed Graph Property
• 5. Characterizations of Compactness and Countable Compactness
• 6. Points of Discontinuity

Part II

• 1. Preliminary Definitions and Theorems
• 2. Properties of Θ-closed Graphs with Respect to $Y$
• 3. $H(i)$ Spaces and Θ-closed Graphs with Respect to $Y$
• 4. Characterizations of $C$-compact, $H$-closed, and Minimal Hausdorff Spaces
• 5. Functions with a $P$-closed Graph with Respect to $Y$
• 6. Functions with a $P$-closed Graph with Respect to $X$
• Bibliography