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The Closed Graph and $P$-Closed Graph Properties in General Topology
 
T R Hamlett
L L Herrington
The Closed Graph and $P$-Closed Graph Properties in General Topology
eBook ISBN:  978-0-8218-7589-6
Product Code:  CONM/3.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Add to cart
The Closed Graph and $P$-Closed Graph Properties in General Topology
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The Closed Graph and $P$-Closed Graph Properties in General Topology
T R Hamlett
L L Herrington
eBook ISBN:  978-0-8218-7589-6
Product Code:  CONM/3.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Add to cart
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 3; 1981; 68 pp
    MSC: Primary 54

    The authors' purpose in writing this paper is to provide an elementary exposition of the results relating to functions with closed and p-closed graphs in a setting of general topology.
  • Table of Contents
     
     
    • 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
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Contemporary Mathematics
Volume: 3; 1981; 68 pp
MSC: Primary 54

The authors' purpose in writing this paper is to provide an elementary exposition of the results relating to functions with closed and p-closed graphs in a setting of general topology.
  • 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
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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