|WikiProject Mathematics||(Rated Start-class, Low-priority)|
The paragraph on stable normal bundles starts off with "Abstract manifolds...". It seems to me that this should be rephrased along the lines of "Generally, manifolds...". Or am I missing something here? Are abstract manifolds a thing? 184.108.40.206 (talk) 17:17, 25 July 2013 (UTC)
- "Abstract manifold" is just a synonym of manifold when one wants to emphasise that there is no a priori given embedding into an affine space, as opposed to a "submanifold of ", for example. At the moment "abstract" is linked to abstraction while "manifold" is linked to manifold, which makes no sense to me; so I'm linking "abstract manifold" to abstract manifold which correctly redirects to manifold. In this way the subsequent comment "only an embedding (or immersion) of a manifold in another yields a normal bundle" becomes sensible. Ale.rossi91 (talk) 12:46, 1 March 2018 (UTC)
- W., Weisstein, Eric. "Abstract Manifold". mathworld.wolfram.com. Retrieved 2018-03-01.