The definition above actually applies to any domain E that does not contain an isolated point, or equivalently, E where every p \ in E is a limit point of E.
42.
A compact uniform space is complete : on a compact space each filter has a cluster point, and if the filter is Cauchy, such a cluster point is a limit point.
43.
Hence, every point in the Cantor set is an accumulation point ( also called a cluster point or limit point ) of the Cantor set, but none is an interior point.
44.
A discrete convergence group action of a group \ Gamma on a compact metrizable space M is uniform if and only if every non-isolated point of M is a conical limit point.
45.
He constructed two sequences of Pisot numbers converging to the golden ratio " ? " from below and asked whether " ? " is the smallest limit point of " S ".
46.
I tried taking a limit point of the range and a sequence converging to it and thereby tried to show that the limit point has an inverse image but nothing came out of it.
47.
I tried taking a limit point of the range and a sequence converging to it and thereby tried to show that the limit point has an inverse image but nothing came out of it.
48.
In structures experiencing limit point instability, if the load is increased infinitesimally beyond the critical load, the structure undergoes a large deformation into a different stable configuration which is not adjacent to the original configuration.
49.
However, the case of a compact operator on a Hilbert space ( or Banach space ) is still tractable, since the eigenvalues are at most countable with at most a single limit point ? = 0.
50.
The element ? 1 is a limit point of the subset [ 0, ? 1 ) even though no sequence of elements in [ 0, ? 1 ) has the element ? 1 as its limit.
