Manifold with boundary

In summary, a manifold with boundary is a topological space that resembles Euclidean space near each point, but has a defined edge or boundary. Formally, it is a manifold where each point in the boundary has a neighborhood that is homeomorphic to an open subset of the half-space, allowing for a distinction between interior points and boundary points. This concept is crucial in various fields of mathematics and physics, as it extends the study of manifolds to include surfaces and shapes that are not closed, such as the surface of a disk or a polygon.
  • #1
DDTG Global
2
0
what would the universe look like if its a manifold with boundary? what would it look like at the boundary? and what happens if u try to touch the boundary? is it just a black wall that's unbreakable?
 
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  • #2
This would depend on what kind of boundary conditions you impose. As far as we can tell though, there is no evidence whatsoever to imply a boundary.
 
  • #3
DDTG Global said:
what would the universe look like if its a manifold with boundary? what would it look like at the boundary? and what happens if u try to touch the boundary? is it just a black wall that's unbreakable?
There's no working model of the universe with a boundary.
 

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