The Math Forum

Search All of the Math Forum:

Views expressed in these public forums are not endorsed by NCTM or The Math Forum.

Math Forum » Discussions » sci.math.* » sci.math.research

Notice: We are no longer accepting new posts, but the forums will continue to be readable.

Topic: Embbeding topological manifold in euclidean space
Replies: 0  

Advanced Search

Back to Topic List Back to Topic List  
Rodolfo Conde

Posts: 16
Registered: 3/24/10
Embbeding topological manifold in euclidean space
Posted: Jul 9, 2011 8:47 AM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

From: Rodolfo Conde <>
Date: July 8, 2011 7:31:46 PM MDT
To: <>
Subject: Embbeding topological manifold in euclidean space

Hi all,

Is there an easy proof of the fact that every topological manifold (no
additional structure) embbeds in an euclidean space R^q, no matter how
big q
is ??

Thanks in advance...


Moderator's Note.

Indeed, a separable metric space with topological dimension n embeds in
R^{2n+1}, a result of Menger, N\"obeling, Lefschetz. So I guess the
question is: Is there a simpler proof if we relax the dimension
2n+1 into which we embed, and/or if we are only interested in

Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© The Math Forum at NCTM 1994-2018. All Rights Reserved.