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We correct the proof of Theorem 4.1 from [C. R. Math. Acad. Sci. Soc. R. Can. \textbf{44} (2022), no. 4, 88--112].

Operator Algebras · Mathematics 2024-03-29 Chris Bruce , Charles Starling

We correct the proof in the unoriented case of Theorem 1.2 in the paper "Cobordisms of maps with singularities of given class"

Geometric Topology · Mathematics 2009-11-10 Yoshifumi Ando

This paper corrects an error in the authors' earlier work, by proving stronger forms of the basic lemmas

Algebraic Geometry · Mathematics 2022-04-20 Lucia Caporaso , Joe Harris , Barry Mazur

This paper has been withdrawn by the author due to an error in an inequality in the proof of Theorem 1.1.

Geometric Topology · Mathematics 2007-05-23 Jonathan Williams

We generalize several comparison results between algebraic, semi-topological and topological K-theories to the equivariant case with respect to a finite group.

K-Theory and Homology · Mathematics 2013-08-21 Jeremiah Heller , Jens Hornbostel

We point out some minor errors in a paper by the first author, and explain why they do not affect the main results in the paper.

Group Theory · Mathematics 2025-03-31 Alex Gonzalez , Bob Oliver

We correct mistakes in the paper Kuhlmann, F.-V.: Value groups, residue fields and bad places of rational function fields, Trans. Amer. Math. Soc. 356 (2004) [arXiv:1003.5685] and report on recent new developments which settle cases left…

Commutative Algebra · Mathematics 2014-07-15 Anna Blaszczok , Franz-Viktor Kuhlmann

There is an error in the proof (but not the truth) of Theorem 3.2 in the author's 1985 paper "The Double-Wedge Algebra for Quantum Fields on Schwarzschild and Minkowski Spacetimes" in "Communications in Mathematical Physics". The author…

Mathematical Physics · Physics 2025-06-23 Bernard S. Kay

This note corrects an error in the char(K)=2 case of the author's computation of the bordism groups of K-Witt spaces for the field K.

Geometric Topology · Mathematics 2013-11-13 Greg Friedman

In this corrigendum, we explain and correct a mistake in our article ''Curved Koszul duality theory''. Our definitions of morphisms between semi-augmented properads and between curved coproperads have to be modified.

Algebraic Topology · Mathematics 2023-11-13 Joseph Hirsh , Joan Millès

We investigate similarities between the category of vector spaces and that of polytopal algebras, containing the former as a full subcategory. In Section 2 we introduce the notion of a polytopal Picard group and show that it is trivial for…

Algebraic Geometry · Mathematics 2007-05-23 Winfried Bruns , Joseph Gubeladze

We explain an error in our paper "A smooth foliation of the 5-sphere by complex surfaces", Ann. Math 156 (2002), p.915-930.

Geometric Topology · Mathematics 2011-06-06 Laurent Meersseman , Alberto Verjovsky

We correct an error in the paper referred to in the title. Part of the argument is organized as a general method for establishing when (derived) functors factor through a fixed Serre subcategory, which may be of some more general interest.

Algebraic Topology · Mathematics 2026-02-25 Byung Hee An , Gabriel C. Drummond-Cole , Ben Knudsen

In this paper we develop a theory of volume polynomials of generalized virtual polytopes based on the study of topology of affine subspace arrangements in a real Euclidean space. We apply this theory to obtain a topological version of the…

Algebraic Topology · Mathematics 2022-04-04 Askold Khovanskii , Ivan Limonchenko , Leonid Monin

A very short note, explaining the error in the original paper, which renders its central result incorrect.

Mathematical Physics · Physics 2013-08-02 Theo Johnson-Freyd

Unfortunately, some proofs in the first version of this paper were incorrect. In this revised version, some minor gaps are fixed, one serious mistake found. The main theorem is now claimed only under a restrictive technical assumption. This…

Algebraic Geometry · Mathematics 2007-05-23 D. Kaledin

This note is intended to reformulate the Dixmier-Malliavin theorem about smooth group representations in the language of bornological vector spaces, instead of topological vector spaces. This language turns out to allow a more general…

Representation Theory · Mathematics 2020-01-17 Gal Dor

We give a revision of the proof of a Mazur-Ulam theorem for generalized gyrovector spaces given in the paper "Generalized gyrovector spaces and a Mazur-Ulam theorem" published in Publ. Math. Debrecen, 87 (2015), 393--413.

Functional Analysis · Mathematics 2015-11-30 Toshikazu Abe , Osamu Hatori

Partial generalizations of virtual polyhedra theory (sometimes under different names) appeared recently in the theory of torus manifolds. These generalizations look very different from the original virtual polyhedra theory. They are based…

Algebraic Geometry · Mathematics 2022-10-04 Askol dKhovanskii

This paper is a corrigendum to the article 'On the ideal theorem for number fields`. The main result of this paper proves to be untrue and is replaced by an estimate of a weighted sum with an improved error term.

Number Theory · Mathematics 2020-06-25 Olivier Bordellès