Rank-3 scale theorems: Difference between revisions

Inthar (talk | contribs)
Tags: Mobile edit Mobile web edit
Inthar (talk | contribs)
Tags: Mobile edit Mobile web edit
Line 91: Line 91:
* v_2 = (A-1)X + (B+1)Q,
* v_2 = (A-1)X + (B+1)Q,
* v_3 = (A+1)X + (B-1)Q.
* v_3 = (A+1)X + (B-1)Q.
Eliminating X from w, we have that w_X is a mos, by the EMOS assumption. At least one of B, B-1, B+1 is not a period multiple of w_X, say B_0, hence a B_0-step of w_X comes in two sizes. For a contradiction we seek two intervals in w:
Eliminating X from w, we have that w_X (word in Y and Z) is a mos, by the EMOS assumption. At least one of B, B-1, B+1 is not a period multiple of w_X, say B_0, hence a B_0-step of w_X comes in two sizes. For a contradiction we seek two intervals in w:
# u_L + A_0 X, and  
# u_L + A_0 X, and  
# u_s + A_0 X,
# u_s + A_0 X,