
Real Analysis Real Analysis Math Forum 
 LinkBack  Thread Tools  Display Modes 
March 18th, 2017, 06:51 AM  #11 
Senior Member Joined: Mar 2015 From: New Jersey Posts: 912 Thanks: 72 
Assume f is homeomorphic from M1 to M2 in E Let M! be open and bounded. Let M2 be closed and bounded. (compact) M1=f$\displaystyle ^{1}$(M2) is compact. Contradiction. 

Tags 
closed, homeomorphism, open, set 
Search tags for this page 
Click on a term to search for related topics.

Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
I need examples about open, closed and neither open nor closed sets  yuceelly  Topology  3  March 8th, 2016 10:45 AM 
neither open nor closed  rqeeb  Real Analysis  3  August 29th, 2011 01:59 AM 
open and closed  blbl  Real Analysis  1  May 27th, 2010 05:23 PM 
Is this set closed or open?  JC  Real Analysis  2  June 6th, 2009 12:13 PM 
Closed/Open sets  farzyness  Real Analysis  1  February 18th, 2009 04:58 PM 