?? inclusions from N^2 into ZxN ... ??? ....

?? non-snug inclusion from cocone x to cocone y as ... ???? certain faces of spec(x) not in image of spec(y) ... ??? those in which ... boundary points of x exhibit genuine "borderline behavior" that can't happen at an interior point .... ???? ...

?? faces (?? vs co-faces ???...) of cocones ... ??? .... ???? ....

?? blowup of origin of affine plane ... ?? ...

?? some sort of "barycentric subdivision" of cone ?? ....

?? non-comparable co-/cones ... vs comparable but non-snug ... ??? .... ?? "co-snug" ??? .... ??? ....