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This short note is an erratum to arXiv:1306.4304, correcting the proof of one of its main results. It includes some counterexamples regarding infinite-dimensional unipotent groups and affine spaces that may be of independent interest.

Algebraic Geometry · Mathematics 2015-12-14 Dennis Gaitsgory , Sam Raskin

In our paper "Dendroidal sets as models for homotopy operads" (J. Topol. 4 (2011), no. 2, 257-299, and arXiv:0902.1954), we made the wrong claim about the behaviour of the tensor product with respect to cofibrations of dendroidal sets. We…

Algebraic Topology · Mathematics 2014-03-27 Denis-Charles Cisinski , Ieke Moerdijk

We give a sketch for an alternative proof of a recent result by J. Tseng.

Number Theory · Mathematics 2009-09-23 Nikolay G. Moshchevitin

In this paper, theorem 3.2 and theorem 4.1 of \"{O}z\c{c}a\u{g} and Eysen [S. \"{O}z\c{c}a\u{g} and A.E. Eysen, Almost Menger property in bitopological spaces, Ukrainian Math. J., {\bf 68}, No 6, 950-958 (2016)] are proven to be incorrect.…

General Topology · Mathematics 2022-05-25 Santanu Acharjee , Kabindra Goswami

This paper corrects an error in [Keller-Ressel, M. and Steiner T. "Yield curve shapes and the asymptotic short rate distribution in affine one-factor models." Finance and Stochastics 12.2 (2008): 149-172]. The error concerns the correct…

Mathematical Finance · Quantitative Finance 2018-02-15 Martin Keller-Ressel

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

Asaf Karagila pointed out that Remark 3.4 [1], directly contradicts Theorem 3.3 (c) [2] which was incorrectly stated. This note contains a proof of this remark. [1] Miller, Arnold W.; A Dedekind Finite Borel Set, Arch. Math. Logic 50…

Logic · Mathematics 2015-10-01 Arnold W. Miller

Correction to Annals of Probability 28 (2000) 277--302 [doi:10.1214/aop/1019160120].

Probability · Mathematics 2007-05-23 S. Sethuraman

This paper has been withdrawn by the author due to a crucial error in the proof of Theorem 1.

Combinatorics · Mathematics 2008-04-14 S. Brlek , G. Labelle , A. Lacasse

Transfinite set theory including the axiom of choice supplies the following basic theorems: (1) Mappings between infinite sets can always be completed, such that at least one of the sets is exhausted. (2) The real numbers can be well…

General Mathematics · Mathematics 2007-05-23 W. Mueckenheim

This is an erratum to our paper.

Quantum Physics · Physics 2011-01-28 Zhao Liu , Heng Fan

We make two tiny corrections to our previous paper with the same title, and also obtain, as a bonus, something new.

Complex Variables · Mathematics 2007-11-06 Judith Brinkschulte , C. Denson Hill , Mauro Nacinovich

This paper gives two different proofs to a structural theorem of decreasing minimization (lexicographic optimization) on integrally convex sets. The theorem states that the set of decreasingly minimal elements of an integrally convex set…

Optimization and Control · Mathematics 2025-04-28 Kazuo Murota , Akihisa Tamura

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

In this paper we formulate and solve extremal problems in the d-dimensional Euclidean space and further in hypergraphs, originating from problems in stoichiometry and elementary linear algebra. The notion of affine simplex is the bridge…

Combinatorics · Mathematics 2013-09-26 Istvan Szalkai , Zsolt Tuza

This is erratum of the paper [Phys. Rev. Lett. {\bf 84}, 4260 (2000)]

Quantum Physics · Physics 2007-05-23 Michal Horodecki , Pawel Horodecki , Ryszard Horodecki

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

In the article "Stochastic evolution equations for large portfolios of Stochastic Volatility models" (Arxiv:1701.05640) there is a mistake in the proof of Theorem 3.1. In this erratum we establish a weaker version of this Theorem and then…

Probability · Mathematics 2019-09-30 Ben Hambly , Nikolaos Kolliopoulos

Adaptive dynamical systems arise in a multitude of contexts, e.g., optimization, control, communications, signal processing, and machine learning. A precise characterization of their fundamental limitations is therefore of paramount…

Information Theory · Computer Science 2010-10-13 Maxim Raginsky

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
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