My Math Forum  

Go Back   My Math Forum > College Math Forum > Real Analysis

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: 1,363
Thanks: 100

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.
zylo is offline  

  My Math Forum > College Math Forum > Real Analysis

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 09:45 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 03:58 PM

Copyright © 2018 My Math Forum. All rights reserved.