Abstract: After Frantz's idea of controlling properties of extensions of continuous functions there has been an interest in extending families of continuous pairwise disjoint real-valued functions on normal spaces. We make the observation that for normal spaces disjoint extending a disjoint family of continuous functions is the same thing as extending a single continuous function with values in a hedgehog $J(\kappa)$ viewed as a bounded complete domain with its Lawson topology where $\kappa$ is the amount of pairwise disjoint functions which have to be extended. We provide a characterization of spaces for which $J(\kappa)$ with its Lawson topology becomes an absolute extensor. This closes the circle of results related to disjoint extension theorems for normal spaces.

AMS Subject Classification: 54C55; 54D15; 06B35.