?? in (P,*)-spectrum, coset of ray completion as corresponding to ideal point reachable by traveling in the ray direction along the coset .... ??? ...

?? then ... ?? ideal point associated to coset of angle joining two rays ?? ?? how to reach it ??? .... ?? maybe sort of clear ... ?? ...

?? then ... ?? (R,*)- and (C,*)-spectrums as bundle over (P,*)- ... ??? ... ?? combinatorial treatment ... ??? ....

??? projective plane example .... ?? ....

?? blow-up ... ??? ....