Related papers: PCF Theory
This article is a short introduction to Combinatorial Dynamics for topologists.
This short expository text is for readers who are confident in basic category theory but know little or nothing about toposes. It is based on some impromptu talks given to a small group of category theorists.
This article is a short survey of the history of functional analysis for topologists.
This is a survey paper of Shelah's pcf theory. In this part the theory is developed up to the pcf theorem.
This is an introduction to some of the most probabilistic aspects of free probability theory.
This is an introductory article to the theory of multiple gaps.
In this article, we will give a brief introduction to the topological insulators. We will briefly review some of the recent progresses, from both theoretical and experimental sides. In particular, we will emphasize the recent progresses…
This paper is a short introduction to orthogonal polynomials, both the general theory and some special classes. It ends with some remarks about the usage of computer algebra for this theory.
This is a revised version of Sh:430, section 6.
Topological conformal field theories are defined using only basic results from the theory of quasiconformal mappings.
This is an attempt to look at the tropical geometry from topological point of view.
A Short Course on Frame Theory.
This short note is an "elementary'' introduction to the conjectural theory of motives.
Expanded lecture notes. Preliminary version, comments are welcome.
This is a brief introduction to the basic concepts of topology. It includes the basic constructions, discusses separation properties, metric and pseudometric spaces, and gives some applications arising from the use of topology in computing.
This article gives a conceptual introduction to the topos approach to the formulation of physical theories.
This is brief and hopefully friendly, with basic notions, a few different perspectives, and references with more information in various directions.
This article contains a concise review of the theory of inflation. We discuss its main theoretical aspects as well as its observational predictions. We also explain how the most recent astrophysical observations constrain the inflationary…
This is an account of the theory of inverse semigroups, assuming only that the reader knows the basics of semigroup theory.
A pedagological introduction to effective field theory is presented.