What Is a Manifold?
bastian.rieck.me
What Is a Manifold?
1–10 of 115 posts
Re: What Is a Manifold?
#2what ain't a manifold at this point
Re: What Is a Manifold?
#3f(x) = 0. Move along it by moving perpendicular to the gradient of f.
Re: What Is a Manifold?
#4what ain't a manifold at this point
Things with edges, like disks and finite lines.
Re: What Is a Manifold?
#5what ain't a manifold at this point
[deleted]
Re: What Is a Manifold?
#6what ain't a manifold at this point
A fractal isnt a manifold. Discrete sets are an edge case. They are considered to be 0 dimensional manifolds to make them fit, but there is a not much that manifold theory has to say about them.
Re: What Is a Manifold?
#7Re: What Is a Manifold?
#8Is the conclusion that a manifold is a space that looks like a lower dimensional space that it really is?
Re: What Is a Manifold?
#9I think everything said here can applies to just topologies.
Re: What Is a Manifold?
#10what ain't a manifold at this point
A fractal isnt a manifold. Discrete sets are an edge case. They are considered to be 0 dimensional manifolds to make them fit, but there is a not much that manifold theory has to say about them.
> A fractal isnt a manifold
Some are. A Koch curve for instance.