My Math Forum  

Go Back   My Math Forum > College Math Forum > Topology

Topology Topology Math Forum


Reply
 
LinkBack Thread Tools Display Modes
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
parnaz is offline  
 
December 3rd, 2006, 04:51 AM   #2
Site Founder
 
julien's Avatar
 
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 ?
julien is offline  
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+(1-t)y belong to X for all t belong to I)
thank you
parnaz is offline  
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?
Annibale is offline  
Reply

  My Math Forum > College Math Forum > Topology

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





Copyright © 2018 My Math Forum. All rights reserved.