Don't use >. It's a symbol for greater than
in mathematics or is used for HTML code. It isn't used for grammar at all, so far as I'm aware.
That ^ is an ellipsis.
An ellipsis is used for omissions, or, in dialogue, for showing that a sentence is not finished, e. g. Mary said, "I think ..."
It doesn't matter what you're omitting. It's always the same ellipsis. The rule does not change.