Exercise 11.  Let  [Graphics:Images/ComplexPlaneTopologyModHome_gr_468.gif]  be a finite set of points.   Show that  S  is a bounded set.  

Solution 11.

See text and/or instructor's solution manual.

    Let  [Graphics:../Images/ComplexPlaneTopologyModHome_gr_469.gif].  

    Clearly,   [Graphics:../Images/ComplexPlaneTopologyModHome_gr_470.gif].  
    
    Thus,  S  is bounded.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

This solution is complements of the authors.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

  

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) 2008 John H. Mathews, Russell W. Howell