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Related papers: Some bijections on set partitions

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This text highlights issues present in the proof of Lemma 6.10 of the Baumgartner (1943 -- 2011) article "Almost disjoint sets, the dense set problem and the partition calculus" of 1976, and intends to present a correction at the same time…

Logic · Mathematics 2026-03-26 Júnio Luan Pereira

The paper has been withdrawn, since there is a mistake in Proposition 5.2. The result on the telescope conjecture for semihereditary rings is correct, but the characterization of the smashing subcategories of the derived category of…

Commutative Algebra · Mathematics 2013-03-12 Silvana Bazzoni

Although the results are correct, it was pointed out that the results follow from some previously known results. Accordingly, this version of the paper is withdrawn by the authors.

Computational Complexity · Computer Science 2012-12-03 Bhaskar DasGupta , Lakshmi Kaligounder

We present a bijection between non-crossing partitions of the set $[2n+1]$ into $n+1$ blocks such that no block contains two consecutive integers, and the set of sequences $\{s_{i}\}_{1}^{n}$ such that $1 \leq s_{i} \leq i$, and if…

Combinatorics · Mathematics 2007-05-23 Rekha Natarajan

This paper has been withdrawn by the author due to a crucial argument error at p.10.

Commutative Algebra · Mathematics 2007-05-23 Susumu Oda

This paper has been withdrawn by the author due to a crucial error in the proofs. The error has been corrected and the paper has been expanded in arXiv:0910.5327

Algebraic Geometry · Mathematics 2010-01-14 Mario Maican

This paper has been withdrawn by the author because there is a gap in Lemma 9.

Number Theory · Mathematics 2016-03-22 Ping Xi

This paper has been withdrawn by the author due to a sheaf-theoretic error, in the end of the proof of the main theorem.

Algebraic Geometry · Mathematics 2008-09-23 Hugues Zuber

This paper has been withdrawn by the author due to an error in the proof of Theorem 6.

Combinatorics · Mathematics 2012-06-22 Øystein J. Rødseth

This paper has been withdrawn by the author, due to a significant error in section 4.3.1.

Geometric Topology · Mathematics 2009-01-26 Chan-Ho Suh

New version of my 1998 article. The method of proof of the main results follows the original, but there are many simplifications/streamlining of arguments, especially Lemma 3.6 (new Lemma 3.7). Fixed small error in proof of lower bound for…

Number Theory · Mathematics 2013-07-16 Kevin Ford

This paper has been withdrawn by the author due to serious flaws in certain proofs. For instance, the method used to construct certain automorphic representations is flawed.

Number Theory · Mathematics 2007-08-29 Ping-Shun Chan

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

dg-ga · Mathematics 2007-05-23 Jonathan Woolf

This paper has been withdrawn, since it contains a corollary with impossible consequences and the source of an error is currently unknown.

Functional Analysis · Mathematics 2008-05-28 Fernando Rambla , Jarno Talponen

This paper has been removed by the author due to a misstatement in Theorem 1 and a gap in its proof. A corrected and largely extended successor (a joint work with Thomas Bauer and Tomasz Szemberg) can be found under math.AG/0312211,

Algebraic Geometry · Mathematics 2007-05-23 Alex Kuronya

This paper has been withdrawn due to a crucial theoretical error.

This paper has been withdrawn by the authors, due a crucial mistake in Lemma 2

Quantum Algebra · Mathematics 2007-05-23 Alberto S. Cattaneo , Giovanni Felder

Paper withdrawn. Error lemma 7.

General Relativity and Quantum Cosmology · Physics 2007-05-23 Chris Radford

This paper has been withdrawn by the author(s), due an error in the proof.

Combinatorics · Mathematics 2008-07-07 He Chen , Zemin Jin , Xueliang Li , Jianhua Tu

This paper has been withdrawn by the author(s), due a crucial sign error in Thm. 11.

Information Theory · Computer Science 2007-10-29 Zhengbang Zha , XueLi Wang