3 papers
math.GR2023
Introducing -Magic Groups and Characterizing -Magic Finitely Generated Abelian Groups
Danielle Bowerman, Nicholas Fleece, Matt Insall
In this paper, we define an -magic square in a group to be an array of group elements whose rows, columns, and diagonals have the same product. This definition is…
math.CT2021
Norms on Categories and Analogs of the Schröder-Bernstein Theorem
Daniel Luckhardt, Matt Insall
We generalize the concept of a norm on a vector space to one of a norm on a category. This provides a unified perspective on many specific matters in many different areas of mathem…
math.GN2020
Hausdorff Compactifications
Matt Insall, Peter A. Loeb, Malgorzata Aneta Marciniak
Previously, the authors used the insights of Robinson's non-standard analysis as a powerful tool to extend and simplify the construction of some compactifications of regular spaces…