EXPOSITIO

A home for expository scholarship

Expositio is a repository for expository papers in a wide range of academic disciplines, supporting preprints, revisions, optional peer review, saved papers, and overlay journals.

14 Papers in view

What is Expositio?

A public repository for expository academic papers, with an integrated scholarly record.

Expositio is a place to read and cite expository work. Papers are published as stable, citable records, while remaining connected to later versions, editorial decisions, and related context.

Some papers are early drafts; others have been peer reviewed or formally published. Each paper remains readable on its own, while preserving the history behind it.

The result is both a reading room and a record: a place to browse by field, read papers in stable form, and follow their development over time.

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Mathematics

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Expositio paper

An introduction to matroid theory

Kaiser Travis Chan

Preprint
v1

In this paper, we explore matroids, which generalize properties of linear independence of vectors and cycles in graphs. We investigate properties and operations on matroids, then we look at how we can represent matroids using matrices.

Mathematics / Combinatorics
Mathematics > Combinatorics > Combinatorial aspects of matroids and geometric lattices Primary
v1

In this article, we show that locally compact groups have invariant measures, also known as Haar measures. We also show that such measures are unique up to scaling.

Mathematics / Measure and integration
Mathematics > Measure and integration > Set functions and measures on topological groups or semigroups, Haar measures, invariant measures Primary