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In this paper we correct an inaccuracy that appears in the proof of Theorem 1. in Czerwik's article "Contraction mappings in $b$-metric spaces.", Acta Math. Inform. Univ. Ostraviensis, 1:5--11, 1993.

Classical Analysis and ODEs · Mathematics 2019-03-22 Sándor Kajántó , Andor Lukács

Estimate (3.39) which appears in the proof of Proposition 3.4 in [Ann. Probab. 27 (1999) 1414--1467, doi:10.1214/aop/1022677454] is wrong. We present below a corrected proof which introduces an extra factor 2 in equations (3.34) and (3.35).…

Probability · Mathematics 2007-05-23 Marzio Cassandro , Enza Orlandi , Pierre Picco

We consider the torsion of homology groups of right pointed sets over a partially commutative monoid M(E,I)

Algebraic Topology · Mathematics 2008-11-25 Lopatkin Viktor

A few corrections and comments are made upon a previously published paper by the author (Gen. Rel. Gravit. 24, 199 (1992)), on the subject of cosmological models with compact spatial sections.

General Relativity and Quantum Cosmology · Physics 2007-05-23 Helio V. Fagundes

We give a fresh introduction to the Khovanov Homology theory for knots and links, with special emphasis on its extension to tangles, cobordisms and 2-knots. By staying within a world of topological pictures a little longer than in other…

Geometric Topology · Mathematics 2014-11-11 Dror Bar-Natan

This is a comment on [G. Knight and R. Klages, Phys. Rev. E 84, 041135 (2011); also available at arXiv:1107.5293v2 [math-ph]].

Statistical Mechanics · Physics 2011-11-29 Thomas Gilbert , David P. Sanders

This note contains a correction of the proofs of the main results of the paper [A. Yekutieli, Deformation quantization in algebraic geometry, Adv. Math. 198 (2005), 383-432]. The results are correct as originally stated.

Algebraic Geometry · Mathematics 2007-08-14 Amnon Yekutieli

This note covers two parts. The first one provides an errata to the paper "Numerical and analytical modeling of busbar systems". We mainly give the correction for three equations affected by a typographical mistake. Despite the corrections…

Numerical Analysis · Mathematics 2014-10-16 Luca Giaccone , Aldo Canova

This paper has been withdrawn because of serious errors.

High Energy Physics - Theory · Physics 2007-05-23 T. G. Philbin

This is a list of the typographic and other errors that occur in `Automorphisms of first-order structures', by R. W. Kaye and H. D. Macpherson (eds), Oxford University Press, 1994.

Logic · Mathematics 2016-09-06 Richard Kaye

This is my talk at ICM, Zurich 1994. It contains a short introduction, two basic examples and a refined version of the Mirror Conjecture formulated in terms of homological algebra.

alg-geom · Mathematics 2008-02-03 Maxim Kontsevich

We correct an error in the article "Property (RD) for Hecke pairs".

Operator Algebras · Mathematics 2012-12-13 Vahid Shirbisheh

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

Homology with values in a connection with possibly irregular singular points on an algebraic curve is defined, generalizing homology with values in the underlying local system for a connection with regular singular points. Integration…

Algebraic Geometry · Mathematics 2007-05-23 Spencer Bloch , Hélène Esnault

Paper withdrawn due to errors. Revised version may or may not appear in the future.

Mesoscale and Nanoscale Physics · Physics 2008-02-03 Steven H. Simon

This article has been withdrawn due to a mistake which is explained in version 2.

Geometric Topology · Mathematics 2007-05-23 Francois Laudenbach

This paper surveys some selected topics in the theory of conformal metrics and their connections to complex analysis, partial differential equations and conformal differential geometry.

Complex Variables · Mathematics 2008-05-16 Daniela Kraus , Oliver Roth

This note supplements our paper "Induced nets and Hamiltonicity of claw-free graphs", by giving the detailed proof that were omitted in it.

Combinatorics · Mathematics 2018-03-26 S. Chiba , J. Fujisawa

This is a survey paper with some original results of the author on refined versions of the Azuma-Hoeffding inequality with some examples that are related to information theory. This work has evolved to the joint paper with Maxim Raginsky in…

Information Theory · Computer Science 2013-03-14 Igal Sason

This is a 20-year old review on singularities and singularity theorems. The main reason to submit it now is -apart from increasing its availability- to correct a very strange error that appears in the journal's online version: it contains…

General Relativity and Quantum Cosmology · Physics 2018-01-17 José M. M. Senovilla