The Chicago Manual of Style has this to say about an ellipsis, and the use of ellipsis points or suspension points to indicate the presence of an ellipsis (emphasis mine):
13.48 Ellipses defined
An ellipsis is the omission of a word, phrase, line, paragraph, or
more from a quoted passage. Such omissions are made of material that
is considered irrelevant to the discussion at hand (or, occasionally,
to adjust for the grammar of the surrounding text).
Chicago style is to indicate such omissions by the use of three
spaced periods (but see 13.51) rather than by another device such as
asterisks. These points (or dots) are called ellipsis points when
they indicate an ellipsis and suspension points when they indicate
suspended or interrupted thought (see 13.39). They must always appear
together on the same line (through the use of nonbreaking spaces,
available in most software applications), along with any following
punctuation; if an ellipsis appears at the beginning of a line, any
preceding punctuation (including a period) will appear at the end of
the line above.
If they prefer, authors may prepare their manuscripts using the
single-glyph three-dot ellipsis character on their word processors
(Unicode 2026), usually with a space on either side; editors
following Chicago style will replace these with spaced periods.
From a typographer's perspective, there's another reason to prefer three spaced periods:
To add the ellipsis punctuation mark to text, hit Option-semicolon
(Mac) or Alt-0133 (Windows). You can also create an ellipsis by typing
three periods. The advantage of this method is that you can alter the
spacing of the dots using tracking, which is particularly useful when
a font's ellipsis appears too tight or too open. In most fonts, the
ellipsis is made from three periods, but the spacing of these periods
can vary from font to font.