Related papers: A variation on the homological nerve theorem
Simple and shorter proofs of two Dirac-type theorems involving connectivity are presented.
It is shown that the results of ref [1] are consistent.
We provide an alternative proof that Crosscaps are diffeomorphically stable.
We give a new analytical proof of the Morse index theorem for geodesics in Riemannian manifolds.
The general goal of this paper is to gather and review several methods from homotopy and combinatorial topology and formal concepts analysis (FCA) and analyze their connections. FCA appears naturally in the problem of combinatorial…
We show that Rasmussen's invariant of knots, which is derived from Lee's variant of Khovanov homology, is equal to an analogous invariant derived from certain other filtered link homologies.
We prove new results, related to the Littlewood and Mixed Littlewood conjectures in Diophantine approximation.
We fill in a gap in the proof of the main theorem in our earlier paper [Ol]. At the same time, we prove a slightly stronger version of the theorem needed for another paper.
This replaces the previous version, by correcting an error in the proof of Theorem 1.4, that was pointed out by the referee.
I prove the "folklore" result that the functional equation for a Lie group homomorphism can be solved by solving the corresponding differential equation.
In this short note, we extend a local $Tb$ theorem that was proved in \cite{GHO} to a full multilinear local $Tb$ theorem.
We prove a result on the existence of linear forms of a given Diophantine type.
We present an analog of O'Neill's Theorem (Theorem 5.2 in [17]) for finite games, which reveals some of the structure of equilibria under payoff perturbations in finite games.
We indicate that an argument of da Costa and Doria in fact proves P=NP. This observation makes their argument appear dubious. We isolate a weak version of one of their lemmas which would already prove P=NP. We point out that even this weak…
We use a spanning tree model to prove a result of E. S. Lee on the support of Khovanov homology of alternating knots.
An isomorphism between two hermitian unitals is proved, and used to treat isomorphisms of classical groups that are related to the isomorphism between certain simple real Lie algebras of types A and D (and rank 3).
We present a short and self-contained proof of the choosability version of Brooks' theorem.
The paper gives a unified and simple proof of both theorems and Cousin's theorem.
We prove a homotopy theorem for sheaves. Its application shortens and simplifies the proof of many Oka principles such as Gromov's Oka principle for elliptic submersions.
In this paper we give a new proof of Riemann's well known mapping theorem. The suggested method permits to prove an analog of that theorem for the three dimensional case.