Related papers: A note on double Danielewski surfaces
This note provides a Lefschetz theorem for Minkowski sums of polytopes, and conclude lower bound theorems for Minkowski sums of polytopes. It is written as an appendix to arXiv:1405.7368, so notation and references follow that paper.
We provide a proof and a counterexample to two conjectures made by N. Kuznetsov.
This version of the paper corrects an inaccuracy in the proof of Theorem 2.9 in the published version. The main results remain unchanged.
A special Danielewski surface is an affine surface which is the total space of a principal $(\mathbb{C},+)$-bundle over an affine line with a multiple origin. Using a fiber product trick introduced by Danielewski, it is known that cylinders…
In this short note we give counterexamples to several results related to extension theorems published recently.
We prove dual theorems to theorems proved by author in \cite {5}. Beginning with Section 10, we introduce and study so-called "twin numbers of the second kind" and a postulate for them. We give two proofs of the infinity of these numbers…
In this note we give a detailed proof of a theorem of Aubin.
We address two errors made in our paper arXiv:1511.03423. The most significant error is in Theorem 1.1. We repair this error, and show that the main result, Theorem 2.5 of arXiv:1511.03423, is true. The second error is in one of our…
The proof given in the paper was incomplete due to an omission in the proof of Lemma 2. A corrected and improved version of the paper is in arXiv:0902.2486.
In this note, we give the possible revised version of the unique solvability conditions for the two incorrect results that appeared in the published paper by Wu et al. (Appl Math Lett 76:195-200, 2018).
We provide a counter-example to Proposition 3.2 of "A note on the Fundamental Group of a Triangular Algebra", by F.Xu.
In this note we prove a weighted version of the Khintchine inequalities.
We give a proof of a result of Bonet, Engli\v{s} and Taskinen filling in several details and correcting some flaws.
In this note, we present a simple non-directed graph proof of Sharkovsky's theorem which is different from the one given in [2].
Question when rectangle can be tiled with similar copies of rectangles witch quetient of sides quadratic irrationalities. New proof of one part F. Sharov's theorem. Other close result.
This note presents an interesting counterexample to a basic covering problem.
This note is withdrawn. The result and its proof are available in the literature.
We extend the authors' previous work on Wiener-Wintner double recurrence theorem to the case of polynomials.
In this note we answer the two questions raised by Y.Y Li and L. Nguyen in their note [LN2] below.
We record an explicit proof of the theorem that lifts a two-variable adjunction to the arrow categories of its domains.