Related papers: A brief introduction to amenable equivalence relat…
We give a detailed exposition of the homotopy theory of equivalence relations, perhaps the simplest nontrivial example of a model structure.
Equivalencies of many basic elementary inequalities are given
This short note contains elementary evaluations of some Euler sums.
We present a general new method for constructing pointwise ergodic sequences on countable groups, which is applicable to amenable as well as to non-amenable groups and treats both cases on an equal footing. The principle underlying the…
We discuss combinatorial conditions for the existence of various types of reductions between equivalence relations, and in particular identify necessary and sufficient conditions for the existence of injective reductions.
We give a brief introduction to the notion of an 'approximate group' and some of its numerous applications.
A selection of basic results on Borel reducibility of ideals and equivalence relations, especially those with comparably short proofs. This is an unfinished text as yet. Some proofs have missing parts and loose ends. [email protected] and…
We study computably enumerable equivalence relations (ceers) on N and unravel a rich structural theory for a strong notion of reducibility among ceers.
In this paper we find some necessary and sufficient conditions for a Banach algebra to be amenable or weakly amenable, by applying the homomorphisms on Banach algebras.
In this paper, we propose new generalizations of amicable numbers. We also give examples and prove properties of these new concepts.
We survey results from amenability theory with an emphasis on applications to harmonic analysis on direct-limit groups.
Short introduction to the gauge/gravity duality
We define notions of generically and coarsely computable relations and structures and functions between structures. We investigate the existence and uniqueness of equivalence structures in the context of these definitions
This article gives a brief survey of the theory and applications of anomalies.
Let A be a Banach algebra and I be a closed ideal of A. We say that A is amenable relative to I, if A/I is an amenable Banach algebra. We study the relative amenability of Banach algebras and investigate the relative amenability of…
This is an introductory article to the theory of multiple gaps.
We investigate computability in the lattice of equivalence relations on the natural numbers. We mostly investigate whether the subsets of appropriately defined subrecursive equivalence relations -for example the set of all polynomial-time…
These lectures are a brief introduction to supersymmetry.
A very elementary introduction to quantum algebras is presented and a few examples of their physical applications are mentioned.
We give a brief survey of the development of the Elliott program of classification of separable simple amenable $C^*$-algebras.