3 papers
math.LO2024
Sets and Classes: Operational Theory
Garth Warner
The purpose of this book is to lay out certain aspects of descriptive set theory. After initially establishing notation and generalities we proceed to the following topics: partiti…
math.HO2024
Surfaces and Area
Garth Warner
Here one will find a rigorous treatment of the simplest situation in Surface Area Theory, viz. the nonparametric case with domain the unit square in the plane. This is installment…
math.HO2024
Functions of Several Variables
Garth Warner
Apart from an account of classical preliminaries, this volume contains a systematic introduction to Sobolev spaces and functions of bounded variation with selected applications. Th…