My Math Forum  

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

Real Analysis Real Analysis Math Forum


Reply
 
LinkBack Thread Tools Display Modes
November 12th, 2016, 12:30 PM   #1
ZMD
Member
 
Joined: Nov 2016
From: Kansas

Posts: 56
Thanks: 0

Topological Space

Anyone?
Attached Images
File Type: jpg Capture10.jpg (17.6 KB, 4 views)
ZMD is offline  
 
November 12th, 2016, 02:01 PM   #2
Global Moderator
 
Joined: May 2007

Posts: 6,344
Thanks: 534

Let U be an open set in Y containing F(x). The inverse image of U is open in X and contains x. By assumption this set contains all but a finite number of x_n. Therefore U will contain the images F(x_n) (all but a finite number). This means that F(x_n) converges to F(x).
mathman is offline  
Reply

  My Math Forum > College Math Forum > Real Analysis

Tags
space, topological



Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
Is there a topological space with fundamental group that does not contain anything? Hayato Topology 3 September 8th, 2015 03:52 PM
Topological equivalence Kzmo Real Analysis 1 December 6th, 2013 09:54 AM
topological question golomorf Real Analysis 4 February 1st, 2013 07:24 AM
topological space involves open sets fairyrak Real Analysis 5 December 30th, 2011 05:39 PM
Topological Space Thomas Keyes Real Analysis 1 November 24th, 2007 11:04 AM





Copyright © 2017 My Math Forum. All rights reserved.