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We give a new proof of the recent K\"unneth theorem for periodic topological cyclic homology (TP) of smooth and proper dg categories over perfect fields of characteristic p>0 due to Blumberg and Mandell. Our result is slightly stronger and…

K-Theory and Homology · Mathematics 2018-08-01 Benjamin Antieau , Akhil Mathew , Thomas Nikolaus

This erratum addresses a logical mistake in the author's article [Jakob, R. The Willmore flow of Hopf-tori in the $3$-sphere. Journal of Evolution Equations 23, No. 72 (2023)] which resulted in two wrong assertions in parts (II) and (III)…

Analysis of PDEs · Mathematics 2026-02-17 Ruben Jakob

We correct an inaccuracy in the original proof

Classical Analysis and ODEs · Mathematics 2008-10-29 Pascal Auscher

In this paper author was proved the boundedness of the multidimensional Hardy type operator in weighted Lebesgue spaces with a variable exponent. As an application we prove the boundedness of certain sublinear operators on the weighted…

Classical Analysis and ODEs · Mathematics 2013-03-05 Rovshan A. Bandaliev

This paper has been withdrawn by the author, due a critical mistake on page 3.

Algebraic Topology · Mathematics 2008-08-22 Alexandru E. Stanculescu

Let p be an odd prime. Let G be a p-local finite group over the extraspecial p-group p_+^{1+2}. In this paper we study the cohomology and the stable splitting of their p-complete classifying space BG.

Algebraic Topology · Mathematics 2009-03-31 Nobuaki Yagita

This paper has been withdrawn by the author. Its natural evolution is preprint math.QA/0610691, which is different enough to bear a different title (though they share about 2/3s of common content).

Quantum Algebra · Mathematics 2007-05-23 Fabio Gavarini

We give the stable splitting of the complex connective K-theory of the classifying space of special orthogonal groups on even dimensions.

Algebraic Topology · Mathematics 2019-11-20 I-Ming Tsai

We prove that the homotopy theory of Picard 2-categories is equivalent to that of stable 2-types.

Algebraic Topology · Mathematics 2019-05-01 Nick Gurski , Niles Johnson , Angélica M. Osorno

The purpose of this note is to correct statements of some assertions in \cite{l}.

Algebraic Topology · Mathematics 2007-06-13 Bo Chen , Zhi Lü

In this paper we lay the foundations of an $\infty$-categorical theory of Stokes data.

Algebraic Geometry · Mathematics 2025-04-08 Mauro Porta , Jean-Baptiste Teyssier

This paper has been withdrawn by the author. The content of the previous versions is now covered by the more recent papers - math.DG/0610252 (concerning the Lie group structuren on the gauge groups) - math.DG/0612522 (concerning the weak…

Mathematical Physics · Physics 2009-09-29 Christoph Wockel

Correction to The Annals of Probability 21 (1993) 554--580 [http://projecteuclid.org/euclid.aop/1176989415]

Probability · Mathematics 2008-09-26 Paul Dupuis , Hitoshi Ishii

In this note we correct two errors in our paper "On the Homology of Completion and Torsion", arXiv:1010.4386, that appeared in Algebras and Representation Theory (2014).

Commutative Algebra · Mathematics 2015-06-26 Marco Porta , Liran Shaul , Amnon Yekutieli

Let p be a prime. We prove that there is an anti-equivalence between the category of unipotent strongly divisible lattices of weight p-1 and the category of Galois stable Z_p lattices in unipotent semi-stable representations with Hodge-Tate…

Number Theory · Mathematics 2014-10-14 Hui Gao

In the paper, we introduce the concept of weight with reasonable growth on a locally compact group $G$. We verify that these weights form a natural class to work with, by examining the most common examples. We proceed with the discussion of…

Functional Analysis · Mathematics 2018-08-09 Mateusz Krukowski

This paper has two main goals. First, we prove nonabelian refinements of basechange theorems in \'etale cohomology (i.e., prove analogues of the classical statements for sheaves of spaces). Second, we apply these theorems to prove a number…

Algebraic Geometry · Mathematics 2024-06-07 Peter J. Haine , Tim Holzschuh , Sebastian Wolf

In the context of holomorphic families of ${\mathbb P}^k$ endomorphisms, we show that various notions of stability are equivalent. This allows us to both extend and simplify the architecture of the proof of certain results of [BBD]

Dynamical Systems · Mathematics 2025-01-15 François Berteloot , Xavier Buff

There is a gap in Theorem 2.2 of the paper of Du (\cite{D_2010}). In this paper, we shall state the gap and repair it.

Functional Analysis · Mathematics 2011-02-14 Thabet Abdeljawad , Erdal Karapınar

We correct the proof of Theorem 4.1 from [C. R. Math. Acad. Sci. Soc. R. Can. \textbf{44} (2022), no. 4, 88--112].

Operator Algebras · Mathematics 2024-03-29 Chris Bruce , Charles Starling