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We give some new methods, based on Lipschitz extension theorems, for bounding filling invariants of subsets of nonpositively curved spaces. We apply our methods to find sharp bounds on higher-order Dehn functions of Sol_{2n+1}, horospheres…

Geometric Topology · Mathematics 2014-11-11 Robert Young

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 note points out a gap in the proof of one of the technical results in the paper "Asymptotic Invariants of Base Loci", that appeared in Ann. Inst. Fourier (Grenoble) 56 (2006), 1701-1734. We provide a correct proof of this result.

Algebraic Geometry · Mathematics 2023-10-02 Lawrence Ein , Robert Lazarsfeld , Mircea Mustata , Michael Nakamaye , Mihnea Popa

We close a gap appearing at the same time in the author's thesis "Iterated rings of bounded elements and generalizations of Schm\"udgen's theorem" [1] and in the author's article "Iterated rings of bounded elements and generalizations of…

Commutative Algebra · Mathematics 2007-05-23 Markus Schweighofer

In this article we give a survey on open problems and conjectures concerning L^2-invariants. We cover the whole portfolio and not only certain aspects as they are considered in the previous more specialized (and within their scope more…

Algebraic Topology · Mathematics 2023-11-30 Dominik Kirstein , Christian Kremer , Wolfgang Lueck

This note corrects conditions in Proposition 3.4 and Theorem 5.2(ii) and comments on imprecisions in Propositions 4.2 and 4.4 in Fissler and Ziegel (2016).

Statistics Theory · Mathematics 2021-02-01 Tobias Fissler , Johanna F. Ziegel

We correct an error in the second part of Theorem 3 of our original paper (arXiv:1512.07161).

Differential Geometry · Mathematics 2017-01-02 Boris Kruglikov , Henrik Winther

The purpose of this erratum and addendum is to correct the errors in [1]. It consists of five components: 1. Lemma 7.1 and Proposition 7.2 are wrong and discarded; 2. A new proof of existence $\lambda(\xi)$ in (7.1) without Proposition 7.2;…

Representation Theory · Mathematics 2017-07-18 Jing-Song Huang

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

An error in the paper [J. Math. Phys. 43, 6343 (2002); math-ph/0207009] is corrected. Further explanation is given.

Mathematical Physics · Physics 2015-06-26 Ali Mostafazadeh

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 contains a correction to the paper, ``Local contribution to the Lefschetz fixed point formula'', Inv. Math. 111 (1993), pp. 1-33.

Algebraic Topology · Mathematics 2007-05-23 Mark Goresky , Robert MacPherson

This note corrects Example 3.2 in Two-Variable Wiman-Valiron Theory and PDEs by the authors which appeared in Ann. Acad. Sci. Fenn Math. (35) (2010), 571-580.

Complex Variables · Mathematics 2010-10-01 P. C. Fenton , John Rossi

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

Memoir on the Sigma invariants and their applications, version 2

Group Theory · Mathematics 2013-03-04 Ralph Strebel

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

In our paper arXiv:1310.6289, we stated that acylindrical hyperbolicity of a group is invariant under commensurability up to finite kernels. Unfortunately, the proof of this fact contained a gap. The goal of this erratum is to point out the…

Group Theory · Mathematics 2018-03-19 A. Minasyan , D. Osin

The purpose of this erratum is to fill a gap in the proof of the `Composite Braid Theorem' in the manuscript "Studying Links Via Closed Braids IV: Composite Links and Split Links (SLVCB-IV)", Inventiones Math, \{bf 102\} Fasc. 1 (1990),…

Geometric Topology · Mathematics 2009-11-10 Joan S. Birman , William W. Menasco

The purpose of this note is to point to a gap in an argument in our paper "Stabilization for the automorphisms of free groups with boundaries", and explain how to fill it.

Geometric Topology · Mathematics 2014-11-11 Allen Hatcher , Nathalie Wahl

This erratum corrects a number of formulae containing mistakes in the paper 'Luminosity function, sizes and FR dichotomy of radio-loud AGN', 2007, MNRAS, v. 381, p.1548. The corrections do not alter any of the conclusions in the original…

Astrophysics · Physics 2009-11-13 Christian R. Kaiser , Philip N. Best
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