Related papers: Wall's finiteness obstruction
The aim of this note is to survey the factorizations of the Fibonacci infinite word that make use of the Fibonacci words and other related words, and to show that all these factorizations can be easily derived in sequence starting from…
This note is a commentary on the model-theoretic interpretation of Grothendieck's double limit characterization of weak relative compactness.
We introduce a supporting combinatorial framework for the Flat Wall Theorem. In particular, we suggest two variants of the theorem and we introduce a new, more versatile, concept of wall homogeneity as well as the notion of regularity in…
In this work we tried to prove the lonely runner conjecture also known as the view obstruction problem.
This note is devoted to a rigorous derivation of rigid-plasticity as the limit of elasto-plasticity when the elasticity tends to infinity.
The aim of this note is to provide a concise introduction to so-called problems of unlikely intersections for (pure) Shimura varieties and to review the current state-of-the-art. In the process, we will touch upon more general settings and…
A consistently specified halting function may be computed.
The main purpose of this note is to pose a couple of problems which are easily formulated thought some seem to be not yet solved. These problems are of general interest for discrete mathematics including a new twig of a bough of theory of…
The aim of this work is to improve Wilker inequalities near the origin and {\pi}/2.
This note presents an interesting counterexample to a basic covering problem.
This short note provides a sharper upper bound of a well known inequality for the sum of divisors function. This is a problem in pure mathematics related to the distribution of prime numbers. Furthermore, the technique is completely…
Almost forty years ago, C.T.C. Wall systematically analyzed the set of "thickenings" of a finite CW complex. Of the results he obtained, probably the most computationally important is the "suspension theorem," which is an exact sequence…
In this paper, we will continue the investigation of Waring's problem, and give further improvements.
In this talk, I summarize the status of our understanding of the puzzle of large gauge invariance at finite temperature.
The purpose of this note is to give the full and self-contained proof of Shchepin's result on a spectral representation of retracts of cubes.
The aim of this note is to prove a new discrepancy principle. The advantage of the new discrepancy principle compared with the known one consists of solving a minimization problem approximately, rather than exactly, and in the proof of a…
In this paper, we will prove some sufficient conditions for the solvability of groups.
The main purpose of this note is to establish the continuity of seminorms on finite-dimensional vector spaces over the real or complex numbers.
An argument is given which exhibits color confinement in nonabelian gauge theory.
In this paper we study the number of finite topologies on an $n$-element set subject to various restrictions.