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We correct a mistake regarding almost complex structures on Hilbert schemes of points in surfaces in arXiv:1510.02449. The error does not affect the main results of the paper, and only affects the proofs of invariance of equivariant…

Symplectic Geometry · Mathematics 2021-11-09 Kristen Hendricks , Robert Lipshitz , Sucharit Sarkar

We explain and correct a mistake in Section 2.6 and Appendix C of the first and second author's paper "Representation Growth and Rational Singularities of the Moduli Space of Local Systems" arXiv:1307.0371.

Algebraic Geometry · Mathematics 2022-04-12 Avraham Aizenbud , Nir Avni , Roberto Rubio

This article corrects two mistakes in the article "Coarse homology theories" [math.AT/0106183].

Algebraic Topology · Mathematics 2014-10-01 Paul D. Mitchener

This paper has been withdrawn by the author due to an error in the proof of Theorem 1.

Geometric Topology · Mathematics 2009-03-30 Emmanuel Wagner

In this paper, theorem 3.2 and theorem 4.1 of \"{O}z\c{c}a\u{g} and Eysen [S. \"{O}z\c{c}a\u{g} and A.E. Eysen, Almost Menger property in bitopological spaces, Ukrainian Math. J., {\bf 68}, No 6, 950-958 (2016)] are proven to be incorrect.…

General Topology · Mathematics 2022-05-25 Santanu Acharjee , Kabindra Goswami

In this article, the author provides full details of the proof of the concordance/isotopy problem. The first published proof, [5], accomplished this task only partially since there was an error, see the erratum [6], which damaged the main…

Differential Geometry · Mathematics 2018-08-23 Boris Botvinnik

This paper has been withdrawn by the author(s) in the light of several other works available and due to a misunderstanding in the authorships.

Quantum Physics · Physics 2016-09-08 S. Rai , J. Rai

We correct here two errors in our earlier paper "An algebraic model for finite loop spaces" [arXiv:1212.2033]

Algebraic Topology · Mathematics 2025-11-05 Carles Broto , Ran Levi , Bob Oliver

We revisit entropy methods to prove new sharp trace logarithmic Sobolev and sharp Gagliardo-Nirenberg-Sobolev inequalities on the half space, with a focus on the entropy inequality itself and not the actual flow, allowing for somewhat…

Analysis of PDEs · Mathematics 2021-12-28 Simon Zugmeyer

This paper is a corrigendum to the article 'Some notes on the classification of shift spaces: Shifts of Finite Type; Sofic Shifts; and Finitely Defined Shifts'. In this article we correct Lemma 5.3. Therefore, we follow correcting…

Dynamical Systems · Mathematics 2025-11-07 Marcelo Sobottka

We correct the proof of Theorem 5 of the paper Homology stability for outer automorphism groups of free groups, by the first two authors.

Group Theory · Mathematics 2014-10-01 Allen Hatcher , Karen Vogtmann , Nathalie Wahl

The ancillary file Corrigendum.pdf contains an explanation why our proof does not work.

Discrete Mathematics · Computer Science 2019-09-16 Volker Kaibel , Jon Lee , Matthias Walter , Stefan Weltge

We point out two errors in the paper ``The integer cohomology algebra of toric arrangements'', Adv. Math., Vol. 313, pp. 746-802, 2017. The main error concerns Theorem 4.2.17. In that theorem's proof, Diagram (8) does not commute in general…

Algebraic Topology · Mathematics 2023-07-13 Filippo Callegaro , Emanuele Delucchi

This paper is devoted to problems stated by Z. Zhou and F. Li in 2009. They concern relations between almost periodic, weakly almost periodic, and quasi-weakly almost periodic points of a continuous map f and its topological entropy. The…

Dynamical Systems · Mathematics 2012-09-20 Lenka Obadalova

In this corrigendum to arXiv:2305.02973, we justify that the motivation behind Conjecture 5.1 is based on a mistaken notion. Moreover, we prove a stronger theorem that disproves the conjecture, and obtain an optimal gradient vector field on…

Combinatorics · Mathematics 2025-05-06 Anupam Mondal , Sajal Mukherjee , Kuldeep Saha

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

Combinatorics · Mathematics 2011-11-09 Lin Hu , Xueliang Li

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.

Dynamical Systems · Mathematics 2007-05-23 Yong-Geun Oh

There are some inaccuracies and errors in my article "Dual and almost-dual homogeneous spaces". Here I will describe in detail how to correct incorrect statements from this article and which statements there will have to be reformulated in…

Rings and Algebras · Mathematics 2020-07-29 Vladimir Gorbatsevich

The paper presents incorrect formulas for the density and bulk modulus under a conformal transformation of coordinates. The fault lies with an improper assumption of constant acoustic impedance.

Mathematical Physics · Physics 2012-02-15 Andrew N. Norris

We present an algorithmic equivalent statement to the Jacobian conjecture. Given a polynomial map F on an affine space of dimension n, our algorithm constructs n sequences of polynomials such that F is invertible if and only if the zero…

Commutative Algebra · Mathematics 2015-06-05 Elzbieta Adamus , Pawel Bogdan , Teresa Crespo , Zbigniew Hajto