Related papers: Some Notes on Standard Borel and Related Spaces

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

These informal notes deal with some basic properties of metric spaces, especially concerning lengths of curves.

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 are some basic notes concerning Holder and Lipschitz classes on metric spaces.

This short note contains elementary evaluations of some Euler sums.

We bring a precision to our cited work concerning the notion of "Borel measures", as the choice among different existing definitions impacts on the validity of the results.

There are versions of "calculus" in many settings, with various mixtures of algebra and analysis. In these informal notes we consider a few examples that suggest a lot of interesting questions.

These informal notes are concerned with sums and averages in various situations in analysis.

These informal notes briefly discuss some basic topics involving Lipschitz functions, connectedness, and Hausdorff content in particular.

These informal notes were prepared in connection with a lecture at a high school mathematics tournament, and provide an overview of some examples of metric spaces and a few of their basic properties.

The notes provide a short introduction to de Branges--Rovnyak spaces. They cover some basic facts and are intended to give the reader a taste of the theory, providing sufficient motivation to make it interesting.

These informal notes deal with a number of questions related to sums and integrals in analysis.

These informal notes concern some basic themes of harmonic analysis related to representations of groups.

These notes deal with finite-dimensional normed algegras, some basic examples, and the definition of the spectrum.

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.

These notes are concerned with the existence and the basic properties of the set-theoretic universes for nonstandard analysis, compiled by a beginner in the subject. It assumes a basic background in first-order logic, though the necessary…

These notes deal with metric spaces, Hausdorff measures and dimensions, Lipschitz mappings, and related topics. The reader is assumed to have some familiarity with basic analysis, which is also reviewed.

A number of topics involving metrics and measures are discussed, including some of the special structure associated with ultrametrics.

These notes include introductory material on the notion of splitting fields for modules over a k-algebra where k is a field.

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