Abstract
Moduli of path families are widely used to mark curves which may be neglected for some applications. We introduce ordinary and approximative modulus with respect to Banach function spaces.
While these moduli lead to the same result in reflexive spaces, we show that there are important path families (related to sets of codimension 1) which can be labelled as negligible by the aproximative modulus but not by the ordinary 1-modulus. For general codimensions the corresponding results are obtained with Lorentz spaces.