What is the significance of the word "occurrence" in "An Occurrence at Owl Creek Bridge"?

According to the Free Dictionary.com, “occurrence” simply
means “something that takes place.” However, in a list of synonyms for the word,  it
says, “a happening of no great importance.” When the reader first sees the title he/she
will agree that it is a hanging taking place, but as the story unfolds we see that it is
much more, and it is of great importance to Peyton Farquhar, the man about to be
hanged.

The author goes into detail about how Farquhar
manages to escape from his execution, and the reader is drawn in, hoping as much as he
does that he can make it to safety.  This is exactly what Ambrose Bierce wants to
happen, and as the reader reaches the surprise ending we see that Bierce picked the
perfect word in using “occurrence” in the title, for what is happening is simply
“something that took place,” a hanging. The author put you in the mind of the condemned
man, only to show you that it didn’t really matter to the outcome of the
execution.