This collection documents the work of the Hyperuniverse Project which is a new approach to set-theoretic truth based on justifiable principles and which leads to the resolution of many questions independent from ZFC.
This volume presents an elaborated version of lecture notes for two advanced courses: (Re)Emerging methods in Commutative Algebra and Representation Theory... Læs mere
This book provides an introduction to topology, differential topology, and differential geometry.
This book develops the geometric intuition of the reader by examining the symmetries of the space in question. This approach introduces in turn all the classical... Læs mere
This book is an introduction to modern cardinal arithmetic, developed in the frame of the axioms of Zermelo-Fraenkel set theory together with the axiom of choice.... Læs mere
It helps students in preparing for national and international mathematical contests form high school level to more advanced competitions and will also be useful for their first year of mathematical studies at the university.
The Road to Universal Logic
This book is about a side of Isaac Newton’s character that has not been examined – Isaac Newton as architect as demonstrated by his reconstruction of Solomon’s Temple.
Through time, thought has reflected on the visible processes and products of material craft to explain and train the invisible workings of the... Læs mere
This text covers cardinal number valued functions defined for any Boolean algebra such as cellularity. It explores the behavior of these functions under algebraic operations such as products, free products, ultraproducts and their relationships to each other.
In the last ?fteen years two seemingly unrelated problems, one in computer science and the other in measure theory, were solved by amazingly similar techniques from representation theory and from analytic number theory.