In topology, a dispersion point or explosion point is a point in a topological space the removal of which leaves the space highly disconnected.
is totally disconnected (every subspace is disconnected, or, equivalently, every connected component is a single point).
is totally separated (for each two points x and y there exists a clopen set containing x and not containing y) then p is an explosion point.
Every totally separated space is totally disconnected, so every explosion point is a dispersion point.
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