Related papers: Contractbility of Outer space: reprise

The new property of minimal surfaces is obtained in this article.

Using a recent description of the geometric stability manifold, we show the geometric stability manifold associated to any smooth projective complex surface is contractible. We then use this result to demonstrate infinitely many new…

We recall the history of the proof of Seifert fibre space conjecture, as well as it motivations and its several generalisations.

New cases of the multiplicity conjecture are considered.

Simple argument in favour of unitarity, to all orders, of space-like noncommutative theory is given.

This note gives an informal overview of the proof in our paper "Borel Conjecture and Dual Borel Conjecture", see arXiv:1105.0823.

This note gives a new construction of Takayasu's cofibrations.

The aim of this paper is to establish some metrical coincidence and common fixed point theorems with an arbitrary relation under an implicit contractive condition which is general enough to cover a multitude of well known contraction…

We prove the existence of periodic bounce orbits of prescribed energy on an open bounded domain in Euclidean space. We derive explicit bounds on the period and the number of bounce points.

Numerably contractible spaces play an important role in the theory of homotopy pushouts and pullbacks. The corresponding results imply that a number of well known weak homotopy equivalences are genuine ones if numerably contractible spaces…

The paper presents a counterexample to the Hodge conjecture.

The symmetries of Unimodular Gravity are clarified somewhat.

Several physical concepts, including the concept of time, are clarified herein by taking into account existing experimental data. In addition, the missing links among these physical concepts are established. This allows us to take another…

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

We study some topological properties of maximal ideal spaces of certain algebras of almost periodic functions. Our main result is that such spaces are contractible. We present certain corollaries of this result.

We prove a recent conjecture by Ulas on reducible polynomial substitutions.

We produce a new, shorter construction of a minor-universal planar graph.

The contradiction of micro-reversibility and macro-irreversibility is an old problem in statistical mechanics. This article argues that irreversibility is present even at the micro level because of the mechanical-electromagnetic…

By changing variables in a suitable way and using dominated convergence methods, this note gives a short proof of Stirling's formula and its refinement.

This article contains a self-contained proof of the stability under convolution of the space of resurgent functions associated with a closed discrete subset of the complex plane (the set of possible singularities), under the assumption that…