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In this erratum we explain how to implement some axioms stated in our paper of 2009 so as to obtain a purely "local" characterization for finite $B_2$-crystals, which was declared but not clarified at some moments there. Also we correct…

Combinatorics · Mathematics 2020-02-13 Vladimir Danilov , Alexander Karzanov , Gleb Koshevoy

This erratum remedies errors in the literature pertaining to the stable Adams conjecture. As part of the above corrections, we also identify and fix two errors in section 4 of our recent article on the subject. We thank E. Fridelander for…

Algebraic Topology · Mathematics 2026-02-25 Prasit Bhattacharya , Nitu Kitchloo

In this article, we introduce a geometrical notion, property strongly UC which is stronger than property UC and prove the existence of best approximations for a new class of almost cyclic $\psi$-contraction maps in a metric space. As a…

Functional Analysis · Mathematics 2023-10-17 Abhik Digar

Let $X$ be a Hausdorff topological vector space, $X^*$ its topological dual and $Z$ a subset of $X^*$. In this paper, we establish some results concerning the $\sigma(X,Z)$-approximate fixed point property for bounded, closed convex subsets…

Functional Analysis · Mathematics 2012-07-19 Cleon S. Barroso , Ondřej F. K. Kalenda , Pei-Kee Lin

It was pointed out to us that the proof of a crucial lemma (Lemma 5.3) in the paper is incorrect. Thus the approximation theorem (Theorem 0.1) for L^2 torsion of an amenable covering of a finite simplicial complex remains unproved. However,…

Differential Geometry · Mathematics 2007-05-23 Jozef Dodziuk , Varghese Mathai , Stuart Yates

A few typos in Mamajek, Meyer, & Liebert (2002, AJ, 124, 1670) have been corrected in this erratum (including two stellar misidentifications and an incorrect power in the units of a slope). The most significant is the correction of a sign…

Astrophysics · Physics 2008-11-26 E. E. Mamajek , M. R. Meyer , J. Liebert

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

Let Gamma be a discrete group satisfying the rapid decay property with respect to a length function which is conditionally negative. Then the reduced C*-algebra of Gamma has the metric approximation property. The central point of our proof…

Group Theory · Mathematics 2016-09-07 Jacek Brodzki , Graham Niblo

We correct a simple error in Percolation on random Johnson-Mehl tessellations and related models, Probability Theory and Related Fields 140 (2008), 417-468. (See also arXiv:math/0610716)

Probability · Mathematics 2010-02-08 Bela Bollobas , Oliver Riordan

This note refers to our previous paper "The emergence of torsion in the continuum limit of distributed edge-dislocations". It identifies and fixes an error in the notion of convergence of Weitzenb\"ock manifolds defined in the paper, and in…

Differential Geometry · Mathematics 2018-02-23 Raz Kupferman , Cy Maor

This note is an erratum to the paper "Tautological classes on moduli spaces of hyper-K\"ahler manifolds." Thorsten Beckman and Mirko Mauri have pointed to us a gap in the proof of \cite[Theorem 8.2.1]{Duke}. We do not know how to correct…

Algebraic Geometry · Mathematics 2021-05-28 Nicolas Bergeron , Zhiyuan Li

In this note we correct a technical error occurred in [M. Torrente and M.C. Beltrametti, "Almost vanishing polynomials and an application to the Hough transform", J. Algebra Appl. 13(8), (2014)]. This affects the bounds given in that paper,…

Algebraic Geometry · Mathematics 2017-05-02 Maria-Laura Torrente , Mauro C. Beltrametti

Haver's near-selection theorem deals with approximate selections of Hausdorff continuous CE-valued mappings defined on $\sigma$-compact metrizable $C$-spaces. In the present paper, we extend this theorem to all paracompact $C$-spaces. The…

General Topology · Mathematics 2019-12-10 Valentin Gutev

We study two geometric properties of reproducing kernels in model spaces $K\_\theta$where $\theta$ is an inner function in the disc: overcompleteness and existence of uniformly minimalsystems of reproducing kernels which do not contain…

Complex Variables · Mathematics 2015-10-01 Anton Baranov , Andreas Hartmann , Karim Kellay

The formulas in the above Erratum are corrected.

High Energy Physics - Phenomenology · Physics 2007-05-23 T. Csorgo

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

We correct a few errors that appeared in [Convergence of invariant measures for singular stochastic diffusion equations, Stochastic Process. Appl. 122 (2012), no. 4, 1998--2017] by I. Ciotir and J.M. T\"olle.

Probability · Mathematics 2012-11-20 Ioana Ciotir , Jonas M. Tölle

As a result of some mistakes discovered in the paper mentioned in the title, Corollaries 3.5 and 3.17a) are withdrawn and a new proof is provided for Proposition 3.14, under the added assumption that the second dual of the underlying Banach…

Probability · Mathematics 2007-10-25 E. Mayer-Wolf , M. Zakai

In this article, we give a counter-example to Lemma 12 of the article "On Operations and Linear Extensions of Well Partially Ordered Sets" by Maciej Malicki and Aleksander Rutkowski.

Combinatorics · Mathematics 2019-04-30 Laurent Lyaudet

We show that for any metric space $X$ the condition \[ \int_X\int_X\int_X c(z_1,z_2,z_3)^2\, d\Hm z_1\, d\Hm z_2\, d\Hm z_3 < \infty, \] where $c(z_1,z_2,z_3)$ is the Menger curvature of the triple $(z_1,z_2,z_3)$, guarantees that $X$ is…

Metric Geometry · Mathematics 2012-12-05 Immo Hahlomaa