This preview shows pages 1–2. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: Let D R. D is said to be convex if 2200 a,b D, the line segment connecting and is contained in D. Let D R. D is said to be connected if 2200 , D, 5 : [0,1] D such that (0) = , (1) = Let D . , x D. f is continuous at x if 2200 {a n } x , a n D, {f(x n )} f(x ). Let D . , x D. f is continuous at x if 2200 > 0, 5 such that if  x x  < , x D,  f(x) f(x ) < Let D R. . is said to be uniformly continuous on D if 2200 {u n },{v n } D if {u n  v n } 0, then  (u n ) (v n )  Let D R. . is said to be uniformly continuous on D if 2200 > 0, 5 such that if  x y  < , x,y D, f(x) f(y) < Let O R. O is said to be open if for any r O, 5 > 0 such that (r , r+ ) O Let D R. O i , i I, be open. If D , then is an open cover of D....
View Full
Document
 Spring '10
 Roberts

Click to edit the document details