December 3rd, 2006, 04:42 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, 04:51 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, 08:54 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, 01:28 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? 

Tags 
algebraic, topology 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Algebraic Topology  Turloughmack  Topology  1  March 29th, 2011 12:48 PM 
Algebraic Topology Help  Turloughmack  Topology  3  March 25th, 2011 09:33 AM 
Algebraic Topology  Turloughmack  Topology  1  March 3rd, 2011 06:56 PM 
Algebraic Topology  Turloughmack  Topology  0  February 1st, 2011 09:28 AM 
algebraic topology  parnaz  Topology  1  December 20th, 2006 11:28 AM 