Related papers: Remarks on topological algebras

These informal notes discuss a few basic notions and examples, with emphasis on constructions that may be relevant for analysis on metric spaces.

This note is the follow up to a paper by M. Waldschmidt.

These notes contain a survey of some aspects of the theory of graded differential algebras and of noncommutative differential calculi as well as of some applications connected with physics. They also give a description of several new…

These are some informal notes concerning topological vector spaces, with a brief overview of background material and basic notions, and emphasis on examples related to classical analysis.

These notes deal with a few aspects of Lie algebras and Lie groups, including some matters related to exponentiation.

These are the notes from my courses on the arithmetic of quadratic forms.

These informal notes are concerned with spaces of functions in various situations, including continuous functions on topological spaces, holomorphic functions of one or more complex variables, and so on.

A conjecture regarding the structure of expander graphs is discussed.

In this note, we establish some new results on some special types of function algebras and also give new proofs to some existing ones

These notes concern linear transformations on R^n and C^n, exponentials of linear transformations, and some related geometric questions.

A short survey on applications of algebraic geometry in topological data analysis.

The aim of these notes is to explain main ideas of the theory of complements. Basically we will follow Shokurov's work alg-geom/9711024.

We survey some results on toric topology.

The main purpose of this note is to provide a topological approach to defining additive functions on Riemannian co-compact normal coverings.

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

This rough note describes some attempts to define a notion of enriched topology (and the associated theory of enriched stacks) on a category enriched over a symmetric monoidal model category, and poses some related questions.

Covering theory is an important tool in representation theory of algebras, however, the results and the proofs are scattered in the literature. We give an introduction to covering theory at a level as elementary as possible.

Lecture notes on Finsler Geometry

These notes deal with algebras equipped with an involution and related matters.

These notes give an elementary approach to parts of the theory of standard Borel and analytic spaces.