This is an expository account of work on strong forms of the Axiom of Determinacy (AD) by a group of set theorists in Southern California, in particular by W. Hugh Woodin. The first half of the book reviews necessary background material, including...Daugiau...
Designed for an Introduction to Proofs course organised around the themes of number and space. Concepts are illustrated using both geometric and number examples, while frequent analogies and applications help build intuition and context in the human...Daugiau...
To mark the opening of a new mathematics and physics building at the California Institute of Technology, a symposium was held during February 2019, and the organizing committee decided to publish expanded versions of the lectures. The nine papers...Daugiau...
We provide analogues of the results from Friedman and Motto Ros (2011) and Camerlo, Marcone, and Motto Ros (2013) (which correspond to the case) for arbitrary -Souslin quasi-orders on any Polish space, for an infinite cardinal smaller than the cardi...Daugiau...
Friedman and Schrittesser set out to answer a long-standing question regarding Lebesgue measurability and the Baire property, and how their behavior can differ with respect to sets in the projective hierarchy. Namely, they prove the theorem if ZF...Daugiau...
In 1919 Emile Borel noted that countable sets of real numbers have a certain covering property, and speculated that only countable sets of real numbers have that property. Here, mathematicians explore the history and impact of the Borel conjectur...Daugiau...
Drawing from the lecture notes for a semester-long program for advanced undergraduate students, Katz and Reimann introduce Ramsey theory. The material should be accessible to anyone who has completed a first set of proof-based mathematics courses...Daugiau...
Woodin has been a leading figure in set theory since the early 1980s, and colleagues, former students, and other mathematicians wish him happy birthday with 12 papers on matters of interest to him. Their topics include the enumeration of degrees:...Daugiau...
Gallery of the Infinite is a mathematicians unique view of the infinitely many sizes of infinity. Written in a playful yet informative style, it introduces important concepts from set theory (including the Cantor Diagonalization Method and the Canto...Daugiau...
(Išleidimo metai: 30-Dec-2012, Hardback, Leidėjas: American Mathematical Society, ISBN-13: 9780821889848)
Taylor (mathematics, U. of Utah) has developed a textbook from notes for a two-semester undergraduate course he teaches for students who have completed three semesters of calculus and one semester of linear algebra. For many students, he says, this i...Daugiau...
