Related papers: Cliff-wall surgery and vanishing of basic phase fu…

This paper has been withdrawn by the author due to an error in section 7. There is a new version: arXiv:1011.3352.

This paper has been withdrawn by the author because the result of this paper was already obtained.

This paper has been withdrawn by the author, due to obsolete reference [4], insufficient discussion in sec. 4, and major conceptual error in sec. 5.

The author decided to withdraw this paper by 1) an error in Lemma 5.11 (and 5.12) which requires some justification; 2) the main result of this paper suffers overlap with arXiv:1203.5254; 3) the author decided to split arXiv:1203.5254 into…

The paper is withdrawn. The proof has an error and it requires a different approach.

This paper has been withdrawn by the author, due to an error in Proposition 2.2.

This paper has been withdrawn because the author no longer believes the firewall argument is correct.

The paper was withdrawn because of its significant overlap with a paper appeared recently.

The paper has been withdrawn.

This paper has been withdrawn to provide a more rigorous proof of the converse of Theorem 1 and Lemma 1 as well.

This document contains all proofs omitted from our working paper 'Screening for breakthroughs'; specifically, the March 2025 version of the paper (arXiv:2011.10090v9).

This paper has been withdrawn by the author due to a coming paper completely superseding it.

This paper is withdrawn.

This paper has been withdrawn.

The paper has been withdrawn.

Paper withdrawn - lemma 4.1 was false. Quite a lot of changes need to be made!

This paper has been withdrawn due to fundamental errors.

The paper has been withdrawn by the author due an error in the proof of Theorem 3.2.

This paper has been withdrawn by the authors due to need of essential revision.

The paper has been withdrawn.