December 3rd, 2006, 05:42 AM  #1 
Newbie Joined: Dec 2006 Posts: 11 Thanks: 0  algebraic topology
hi.pleaz help me i want a homemorphism from X to Y ;X is convex but Y is not convex. thank you 
December 3rd, 2006, 05:51 AM  #2 
Site Founder Joined: Nov 2006 From: France Posts: 824 Thanks: 7 
What do you call convex here ? What are the structure on X and Y ? Are they topological vector spaces or something else ?

December 3rd, 2006, 09:54 PM  #3 
Newbie Joined: Dec 2006 Posts: 11 Thanks: 0  convex sapace
X,Y are subspace of euclidean space. convex means for each pair of points x,y belong to X the line segment joining x and y is contained in x.(tx+(1t)y belong to X for all t belong to I) thank you 
December 4th, 2006, 02:28 PM  #4 
Newbie Joined: Dec 2006 Posts: 3 Thanks: 0 
You can "expand" homeomorphically a plane star in a disk, the former is not convex while the last is. Are you sure the problem was exactly this? 

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algebraic, topology 
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