Cabbage Salad

Around here they seem to make cabbage salad in a whole different way and they seem to call it cole slaw.
Honestly, I am not crazy about it.....as it looks like a mushy thing.
From what I know, there is mayonnaise in it and that does not sound good to me.
Anyhow, I believe that cabbage should be thinly sliced, sprinkled with kosher salt, ground pepper, then sprinkled with some lemon/lime juice (bottled substitute will do as well) and some oil.
Toss and enjoy !
Crisp and fresh !