## New answers tagged physics

5
votes

### Can the Causal Structure recover the manifold topology for non-chronological spacetimes?

Regarding the title question: No, the topology cannot be recovered from the chronology relation for non-chronological spacetimes. For example, there are plenty of distinct Lorentzian manifolds for ...

9
votes

### Why/does 'low-dimension' topology end with dimension 4?

There are of course ways to construct difficult problems in high-dimensional manifold theory. One of the ways high-dimensional manifold theory differs strongly from low-dimensional manifold theory ...

28
votes

Accepted

### Why/does 'low-dimension' topology end with dimension 4?

Contrary to the assumption in your question, understanding manifolds of dimension 5 and higher is considered to be easier than understanding 3- and 4-dimensional manifolds. Why? Because in $({\ge}5)$-...

Top 50 recent answers are included

#### Related Tags

physics × 191mp.mathematical-physics × 91

reference-request × 19

quantum-mechanics × 16

dg.differential-geometry × 15

soft-question × 13

differential-equations × 13

quantum-field-theory × 13

rt.representation-theory × 11

ap.analysis-of-pdes × 10

classical-mechanics × 9

nt.number-theory × 8

pr.probability × 8

lo.logic × 7

mg.metric-geometry × 7

ag.algebraic-geometry × 6

fa.functional-analysis × 6

ca.classical-analysis-and-odes × 6

cv.complex-variables × 6

ds.dynamical-systems × 5

calculus-of-variations × 5

gauge-theory × 5

lie-groups × 4

sg.symplectic-geometry × 4

hilbert-spaces × 4