A space can have at most one dispersion point or explosion point.
2.
Every totally separated space is totally disconnected, so every explosion point is a dispersion point.
3.
It also has two zero-dispersion points, and low dispersion over a much wider wavelength range than standard singly clad fiber.
4.
It also has two zero-dispersion points, and moderately low dispersion over a wider wavelength range than a singly clad fiber or a doubly clad fiber.
5.
Note that the final statement does not imply Eremenko's Conjecture . ( Indeed, there exist connected spaces in which the removal of a single dispersion point leaves the remaining space totally disconnected .)
6.
More specifically, if " X " is a point " p " and at least two other points, " p " is a dispersion point for " X " if and only if X \ setminus \ { p \ } is totally disconnected ( every subspace is disconnected, or, equivalently, every connected component is a single point ).
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