Note that the basic broken neighborhoods
V
ε
0
(
x
)
and
V
ε'
1
(
y
)
of points on the
x
-axes of
different
layers will be disjoint —
unless
0 < |
x
-
y
| < 2·min{ε, ε'},
in which case they will meet at exactly one point, lying over ((
x
+
y
)/2, |
x
-
y
|/2) .
[ >> ]
Note that the basic broken neighborhoods
Vε0(x) and
Vε'1(y) of
points on the x-axes of different layers
will be disjoint — unless
0 < |x-y| < 2·min{ε, ε'},
in which case they will meet at exactly one point, lying
over ((x+y)/2, |x-y|/2) .