Related papers: Sketch for a Theory of Constructs

A conjecture regarding the structure of expander graphs is discussed.

This thesis develops the theory of bundle gerbes and examines a number of useful constructions in this theory. These allow us to gain a greater insight into the structure of bundle gerbes and related objects. Furthermore they naturally lead…

These notes are a self-contained short proof of the stability of persistence diagrams.

In this article we survey some of the recent developments in the structure theory of set addition.

The note complements topological aspects of the theory of chiral algebras.

The goal of this note is to provide a constructive version of the proof of local structure of etale algebras.

This note presents an interesting counterexample to a basic covering problem.

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…

A simple proof of the celebrated theorem of Lee and Yang is attempted in this short note.

We formulate a theory of shape valid for objects of arbitrary dimension whose contours are path connected. We apply this theory to the design and modeling of viable trajectories of complex dynamical systems. Infinite families of…

In this Phd. thesis, a structural analysis of construction schemes is developed. The importance of this study will be justified by constructing several distinct combinatorial objects which have been of great interest in mathematics. We then…

This note is a survey of $J$-spaces.

A little general abstract combinatorial nonsense delivered in this note is a presentation of some old and basic concepts, central to discrete mathematics, in terms of new words. The treatment is from a structural and systematic point of…

We describe the construction of the slice fibration of a given one.

In this small note we ask several questions which are relevant to the construction of the self-consistent neutrino theory of light. The previous confusions in such attempts are explained in the more detailed publication.

The paper presents a counterexample to the Hodge conjecture.

These notes derive a number of technical results on nonlinear contraction theory, a comparatively recent tool for system stability analysis. In particular, they provide new results on the preservation of contraction through system…

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

Covering space theory is used to construct new examples of buildings.

This article gives a brief survey of the theory and applications of anomalies.