Re: Smooth submanifolds

From: "Langfingerli" <koschaedler@xxxxxx>
Date: 20 May 2006 06:54:31 -0700

The definition of an imbedded manifold (q.v. see Spivak) is an immersed
submanifold, where the immersion is a homeomorphism to the image. The
simplest way I can see to finish the argument is to use connectedness.

- Martin Dowd

Ok, I think i got your point for the second task. But how do I show
that it's a smooth manifold?
Thank you so far,
Lf

.

Follow-Ups:
- Re: Smooth submanifolds
  - From: Lee Rudolph

References:
- Smooth submanifolds
  - From: Langfingerli
- Re: Smooth submanifolds
  - From: martin dowd

Prev by Date: Re: after beginner's algebra, where to?
Next by Date: Symbolic Analysis of binomial matrix / is a helping hand (mathematica/maple-user) here?
Previous by thread: Re: Smooth submanifolds
Next by thread: Re: Smooth submanifolds
Index(es):
- Date
- Thread

Relevant Pages

Re: Manifolds
... For manifolds, connectedness implies path-connectedness. ... between the first point where injectivity fails, ... All homeomorphisms psi_n together yield a homeomorphism ... countability assumption.) ...
(sci.math)
Re: No homeomorphism (0,1) <--> [0,1]
... >>and, and I'm stuck. ... >>homeomorphism and continuity. ... connectedness; and that connectedness is a homeomorphic ...
(sci.math)
Re: No homeomorphism (0,1) <--> [0,1]
... >>>and, and I'm stuck. ... >>>homeomorphism and continuity. ... >connectedness; and that connectedness is a homeomorphic ...
(sci.math)