Related papers: Termination of log flips in dimension 4

This paper has been withdrawn by the author due to a critical error in the proof of Theorem 5.4 on which the proof of the main theorem on the non-simplenss was based.

This paper has been withdrawn by the author due to a crucial definition error of Triebel space.

This paper has been withdrawn by the author due to a crucial error in formula 4.12.r

This paper has been withdrawn due to a critical error discovered in Theorem 4.21. Anyone with a historical or pragamatic interest in prior "negative results", however - e.g., failed proof attempts relating to the (in)consistency of ZF or…

This paper has been withdrawn by the author due to a crucial sign error in equation 1

This paper has been withdrawn by the author.

This paper has been withdrawn by the authors. We have discovered an error in the evaluation of the diagram, which invalidates our conclusion.

The paper was retracted.

This paper was withdrawn as Lemma 2 is incorrect.

This paper has been withdrawn by the author due to an error in the proof.

This paper has been withdrawn by the corresponding author because the newest version is now published in Journal of Discrete Algorithms.

Paper withdrawn due to a crucial algebraic error in section 3.

This paper has been withdrawn by the authour.

This paper has been withdrawn due to crucial errors.

This paper has been withdrawn by the author due to crucial sign error in Lemma 8.1.

This paper has been withdrawn

This paper was withdrawn by the author due to an edition's rights

This paper has been withdrawn by the author due to errors.

This paper has been withdrawn by the author due to a crucial sign error in equation 1.

The paper has been withdrawn because the proof of part (b) of the main theorem is incomplete.