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In this paper, we study the well extension of strict(irreflective) partial well orderings. We first prove that any partially well-ordered structure <A, R> can be extended to a well-ordered one. Then we prove that every linear extension of…

Logic in Computer Science · Computer Science 2015-07-28 Haoxiang Lin

We correct a partial mistake for a metric presented in the article "Lattice constellation and codes from quadratic number fields" [IEEE Trans. Inform. Theory, vol. 47, No. 4, May. 2001]. We show that the metric defined in the article is not…

Information Theory · Computer Science 2014-12-01 Murat Güzeltepe

In this note we consider a Ramsey type result for partially ordered sets. In particular, we give an alternative short proof of a theorem for a posets with multiple linear extensions recently obtained by Solecki and Zhao.

Combinatorics · Mathematics 2016-08-19 Andrii Arman , Vojtěch Rödl

This short note aims to point out mistakes in one of the implications for Theorem 2.8 in Bayraktar and Yu [Mathematical Finance, 28 (2018), pp. 800-838], which weakens the statement of this theorem.

Portfolio Management · Quantitative Finance 2025-09-16 Erhan Bayraktar , Xiang Yu

We correct several errors in Phys. Rev. D 66, 094011 (2002). [arXiv:hep-ph/0205210].

High Energy Physics - Phenomenology · Physics 2015-06-12 Geoffrey T. Bodwin , Andrea Petrelli

This is an erratum to the article: "Computation of maximal projection constants" (J. Funct. Anal., 277). The statement of Lemma 3.1(2) of that paper is incorrect. As a consequence of this the proof of Theorem 1.4 is incomplete. In this…

Functional Analysis · Mathematics 2024-06-27 Giuliano Basso

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 modify arguments by Harrington, Marker, and Shelah, 1990, to reprove extensions of two key results in their paper "Borel orderings"in the context of bounding and decomposition of analytic subsets of Borel partial quasi-orderings.

Logic · Mathematics 2018-08-16 Vladimir Kanovei

We correct Definition 6.3, Proposition 6.7, and Section 7 in the published version of our paper.

Combinatorics · Mathematics 2011-05-30 Alan Guo , Ezra Miller

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

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

Unfortunately the proof of the main result of [1], Theorem 1, has a flaw. Namely, Lemma 13 used in the proof of Proposition 11 is correct only under an additional assumption that the operator $A$ is normal (adjoint for the one-sided shift…

Spectral Theory · Mathematics 2020-12-29 Artem Dudko , Rostislav Grigorchuk

The original versions (1 and 2) of this paper paper contain a fatal error. All my attempts to patch the error have failed. As a service to the community I explain the error in some detail.

Quantum Physics · Physics 2015-06-03 Mladen Pavicic

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

We establish a cutting lemma for definable families of sets in distal structures, as well as the optimality of the distal cell decomposition for definable families of sets on the plane in $o$-minimal expansions of fields. Using it, we…

Logic · Mathematics 2020-02-28 Artem Chernikov , David Galvin , Sergei Starchenko

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

Boris Shoikhet noticed that the proof of lemma 1 in section 2.3 of math.QA/0504420 contains an error. In this note I give a correct proof of this lemma which was suggested to me by Dmitry Tamarkin. The correction does not change the results…

Quantum Algebra · Mathematics 2007-05-23 Vasiliy A. Dolgushev

We present an extension theorem for a separately holomorphic function which is polynomial/rational in some variables.

Complex Variables · Mathematics 2025-02-18 Peter Pflug

This note corrects some omissions in section 2 of the paper "Lipschitz connectivity and filling invariants in solvable groups and buildings."

Geometric Topology · Mathematics 2016-09-21 Robert Young
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