相关论文: An overview of the proof in "Borel Conjecture and …

This is a summary of the proof of BAB conjecture. All material are taken from the two BAB paper in the reference. The aim of this summary is to help reader to understand the more technical side of the proof of BAB.

We show that it is consistent that the Borel Conjecture and the dual Borel Conjecture hold simultaneously.

This is an appendix to our paper "An update of the Hirsch Conjecture" (arXiv:0907.1186), containing proofs of some of the results and comments that were omitted in it.

The paper presents a counterexample to the Hodge conjecture.

In this paper, we survey some recent results on the Artin conjecture and discuss some aspects for the Artin conjecture.

A short, fairly self-contained proof is given of the Poincar\'e Conjecture. In the previous version there was an error on Page 8. This gap has now been filled.

Over one year ago, a very long preprint posted on arXiv [arXiv:1709.03771] and HAL announced a proof of Lehmer's Conjecture (and of other related results). Unfortunately, as was remarked by several specialists, this proof contains a (at…

This is an informal paper presenting historical results around the recent paper of the author about Lang's Conjecture and torsion of elliptic curves. This paper also discusses a few aspects of the proof.

These are some notes on the two Milnor conjectures and their proofs (due to Voevodsky, Orlov-Vishik-Voevodsky, and Morel).

The paper contains an alternative proof of M. Kontsevich Formality Theorem.

This note is a somewhat-lighthearted comment on a recent paper by David Wallace, arXiv:0906.2718[quant-ph] entitled "A formal proof of the Born rule from decision-theoretic assumptions".

In this note, the correction to the proof of one theorem in some our previous paper [arXiv:1302.0589] will be given.

The purpose of this note is to give an affirmative answer to a conjecture appearing in [Integral Transforms Spec. Funct. 26 (2015) 90-95].

These notes give an elementary approach to parts of the theory of standard Borel and analytic spaces.

We provide a proof of the Borwein Conjecture using analytic methods.

This is a collection of variants of Schanuel's conjecture and the known dependencies between them. It was originally written in 2007, and made available for a time on my webpage. I have been asked by a few people to make it available again…

This paper has been withdrawn by the author due to the version of [A complete proof of Hamilton's conjecture] at arXiv:1008.1576

In this paper we prove the WALA conjecture.

New cases of the multiplicity conjecture are considered.

This is an introductory article to the theory of multiple gaps.