Related papers: Some bijections on set partitions

This paper was withdrawn by the author due to a fatal error.

This paper has been withdrawn by the author due to a crucial citing error in equation 4.

Categories of partial functions have become increasingly important principally because of their applications in theoretical computer science. In this note we prove that the category of partial bijections between sets as an…

This paper has been withdrawn, because the argument for generation of Goldstone modes is incorrect.

This paper has been withdrawn by the author due to it contains some errors. A corrected treatment is presented in further publications of the author.

This paper is devoted to present two counterexamples to the theorem from \cite{MK} Maria R., Katherine T. M., Bernardo S. M., Extremal graphs with bounded vertex bipartiteness number, Linear Algebra Appl. 493 (2016) 28-36. Moreover, the…

The paper is withdrawn.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

Paper withdrawn due to errors. Revised version may or may not appear in the future.

In this paper, we firstly point out, by a counter example, that Proposition 6.4 of Section 6 in Bump's book (Algebraic Geometry) is error, and then give a correct statement with proof. We finally point out a gap in the proof of Theorem 3,…

This paper has been withdrawn because of serious errors.

This paper has been withdrawn by the author due to a crucial sign error in equation 1

%auto-ignore This paper has been withdrawn by the author(s) because somebody do not agree with my idea.

This note introduces some bijections relating core partitions and tuples of integers. We apply these bijections to count the number of cores with various types of restriction, including fixed number of parts, limited size of parts, parts…

This paper was withdrawn by the authors.

The main result is that for lambda strong limit singular failing the continuum hypothesis (i.e. 2^lambda > lambda^+), a polarized partition theorem holds.

This paper has been withdrawn. See v1 still available to understand the problem: Proposition 2.2 is false. The error in the proof is in claim (3). Then, the whole paper collapses. We do not have any correction for now. We apologize to…

This paper has been withdrawn because it is a duplicate of [math/0609208].

This paper was withdrawn by the author. It turns out that similar ideas have been presented before. The author apologizes.

This paper has been withdrawn by the author due to a crucial error in example.

This paper has been withdrawn by the author due to the incorrect application of the divergence theorem to Eqs 7, 8 and 9.