  Using a new definition of a prime ideal of a skew brace A, on set Spec A of
prime ideals of A we endow a spectral topology (in the sense of Grothendieck).
We characterize irreducible closed subsets of Spec A and prove every
irreducible closed subset of the space has a unique generic point. We give a
sufficient condition for the space to be Noetherian. We study continuous maps
between such spaces, and finally, we prove that Spec(Idl A) is a spectral
space, where Idl A is the set of all ideals of A.
