What is cluster point?

Some articles on cluster point, point:

Filter (mathematics) - Filter On A Set - Filters in Topology - Cauchy Filters
... Moreover, every cluster point of a Cauchy filter is a limit point ... 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 ...
Sierpiński Space - Topological Properties - Convergence
... Every sequence in S converges to the point 0 ... The point 1 is a cluster point of a sequence in S if and only if the sequence contains infinitely many 1's ... Examples 1 is not a cluster point of (0,0,0,0,…) ...

Famous quotes containing the words point and/or cluster:

    There could be no fairer destiny for any physical theory than that it should point the way to a more comprehensive theory in which it lives on as a limiting case.
    Albert Einstein (1879–1955)

    The power to guess the unseen from the seen, to trace the implications of things, to judge the whole piece by the pattern, the condition of feeling life in general so completely that you are well on your way to knowing any particular corner of it—this cluster of gifts may almost be said to constitute experience.
    Henry James (1843–1916)