notes on the spatial part of a frame

A locale (frame) l has a largest spatial sublocale generated by the primes (spectrum points), the spatial part spl. in this paper we discuss some of the properties of the embeddings spl ⊆ l. first we analyze the behaviour of the spatial parts in the assembly: the points of l and of s(l)^op (∼=the congruence frame) are in a natural one-one correspondence while the topologies of spl and sp(s(l)^op) differ. then we concentrate on some special types of embeddings of spl into l, namely in the questions when spl is complemented, closed, or open. while in the first part l was general, here we need some restrictions (weak separation axioms) to obtain suitable formulas.