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In this note, the correction to the proof of one theorem in some our previous paper [arXiv:1302.0589] will be given.

Rings and Algebras · Mathematics 2020-02-18 Bui Xuan Hai

In this note we fill a gap in the proof of the main theorem (Theorem 1.2) of our paper 'Surfaces in 4-manifolds', Math. Res. Letters 4 (1997), 907-914.

Geometric Topology · Mathematics 2007-05-23 Ronald Fintushel , Ronald J. Stern

We fill in a gap in the proof of the main theorem in our earlier paper [Ol]. At the same time, we prove a slightly stronger version of the theorem needed for another paper.

Group Theory · Mathematics 2021-09-17 Bob Oliver

This is an erratum to an earlier paper, "Generalizations of the Poincar\'e-Birkhoff theorem." An error in the statement of one of the theorems is corrected.

Dynamical Systems · Mathematics 2007-05-25 John Franks

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

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

This note points out a gap in the proof of the main theorem of the article "Birationally rigid hypersurfaces" published in Invent. Math. 192 (2013), 533-566, and provides a new proof of the theorem.

Algebraic Geometry · Mathematics 2016-04-20 Tommaso de Fernex

This very short correction notes a gap in an argument of an earlier paper, and also provides a theorem of similar flavor to the main result of that paper.

Group Theory · Mathematics 2022-09-27 Samuel M. Corson

The paper gives a short account of the contents of "Regular Algebraic K-Theory For Groups" by the author and its connections with other homology and K-theories.

K-Theory and Homology · Mathematics 2014-02-05 Ulrich Haag

There is an irreparable error in the proof of Theorem 3.26 in our "Model Theory of Fields with Virtually Free Group Actions" paper and we withdraw the claim of having proved that theorem. In fact, that theorem is false in a very strong…

Logic · Mathematics 2024-03-18 Özlem Beyarslan , Piotr Kowalski

This paper has been withdrawn due to a error in Theorem 3.1.

Differential Geometry · Mathematics 2008-10-20 Svetoslav Zahariev

In this paper we generalize the notion of strongly poly-free group to a larger class of groups, we call them strongly poly-surface groups and prove that the Fibered Isomorphism Conjecture of Farrell and Jones corresponding to the stable…

Geometric Topology · Mathematics 2014-10-01 S. K. Roushon

There are errors in the proof of the uniqueness of arithmetic subgroups of the smallest covolume. In this note we correct the proof, obtain certain results which were stated as a conjecture, and we give several remarks on further…

Number Theory · Mathematics 2010-03-26 M. Belolipetsky

In this paper, I correct errors in my paper (Kodai Math. J. (2015)) about gamma filtrations for classifying spaces for abelian p-groups which are not elementary. We also extend Chetard's results for such 2-groups to p-groups for odd prime.

K-Theory and Homology · Mathematics 2019-07-23 Nobuaki Yagita

We prove that graded K-theory is universal among oriented Borel-Moore homology theories with a multiplicative periodic formal group law.

Algebraic Geometry · Mathematics 2013-01-17 José Luis González , Kalle Karu

We provide some corrections and clarifications to the paper [Gr3] of the title. In particular, we clarify the "left/right" conventions on complex reflection groups and their braid groups. Most importantly, we fill in a gap related to the…

Algebraic Geometry · Mathematics 2020-02-27 Mikhail Grinberg

This is an overview of results from our experiment of merging two seemingly unrelated disciplines - higher algebraic K-theory of rings and the theory of lattice polytopes. The usual K-theory is the ``theory of a unit simplex''. A conjecture…

K-Theory and Homology · Mathematics 2007-05-23 Winfried Bruns , Joseph Gubeladze

In this note we document a gap in an argument in the above paper, and point to new work in the literature giving a complete proof of the main result.

Dynamical Systems · Mathematics 2026-02-24 Jorge Fariña-Asategui , Rafe Jones , Santiago Radi

We correct some oversights in the paper "A spectral sequence for stratified spaces and configuration spaces of points" by the second named author. In particular we explain that an additional hypothesis should be added to Theorem 4.15 in…

Algebraic Topology · Mathematics 2021-10-05 Nir Gadish , Dan Petersen

The purpose of this note is to verify that the archimedean multiplicity one theorems shown for orthogonal groups (as well as general linear and unitary groups) in a previous paper of the authors remain valid for special orthogonal groups.…

Representation Theory · Mathematics 2011-10-12 Binyong Sun , Chen-Bo Zhu

In joint work with M. Hopkins and C. Teleman we find a new description of the Verlinde algebra associated to a compact Lie group. In this expository account we describe twisted K-theory, prove the theorem for the group SU(2), and motivate…

Representation Theory · Mathematics 2007-05-23 Daniel S. Freed
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