Notes on several errata in "The E₈-boundings on homology spheres and negative sphere classes in E(1)".

1. P.165. Theorem 1.6
   The proof of this theorem (examples in Fig 3) is done by computing the Neumann-Siebenmann invariant.
2. P.173. L.22
   Suppose de≥3, fg≥4.
    If d≥2 then
    X≥3/2-2/3-6/(11d)-8/(15f)≥3/110>1/462.
    If d=1, and f≥2 then
    X≥ 5/6-6/11-4/15>1/462.
    If d=1 and f=1 then
    X=-(16eg+8g+8e-5)/(6(4g-1)(4e-1))≤-(192+24+24-5)/(6(4g-1)(6e-1))<0.
   Therefore this case does not hold.
3. P174. L.13
   The computations of the Neumann-Siebenmann invariant imply ds≤n due to Theorem 2.1 (15).
4. P.179.Fig.15
   In the diagram of N₁ one -1-framed 2-handle (a meridian of a dotted 1-handle) is missing.