
Computational Prospects Of Infinity - Part I: Tutorials
World Scientific Publishing Co Pte Ltd
Will be published approx. on 6. May 2008
Book
Hardback
264 pages
978-981-279-653-0 (ISBN)
Description
This volume presents the written versions of the tutorial lectures given at the Workshop on Computational Prospects of Infinity, held from 18 June to 15 August 2005 at the Institute for Mathematical Sciences, National University of Singapore. It consists of articles by four of the leading experts in recursion theory (computability theory) and set theory. The survey paper of Rod Downey provides a comprehensive introduction to algorithmic randomness, one of the most active areas of current research in recursion theory. Theodore A Slaman's article is the first printed account of the ground-breaking work of Slaman-Woodin and Slaman-Shore on the definability of the Turing jump. John Steel presents some results on the properties of derived models of mice, and on the existence of mice with large derived models. The study was motivated by some of the well-known Holy Grails in inner model theory, including the Mouse Set Conjecture. In his presentation, W Hugh Woodin gives an outline of an expanded version (unpublished) on suitable extender sequences, a subject that was developed in the attempt to understand inner model theory for large cardinals beyond the level of superstrong cardinals.The volume serves as a useful guide for graduate students and researchers in recursion theory and set theory to some of the most important and significant developments in these subjects in recent years.
More details
Series
Language
English
Place of publication
Singapore
Singapore
Target group
College/higher education
Product notice
sewn/stitched
Cloth over boards
Dimensions
Height: 226 mm
Width: 157 mm
Thickness: 20 mm
Weight
522 gr
ISBN-13
978-981-279-653-0 (9789812796530)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Persons
Editor
Nus, S'pore
Chinese Academy Of Sciences, China
Univ Of California, Berkeley, Usa
The Univ Of California, Berkeley, Usa
Nus, S'pore
Content
Five Lectures on Algorithmic Randomness (R Downey); Global Properties of the Turing Degrees and the Turing Jump (T A Slaman); Derived Models Associated to Mice (J R Steel); Tutorial Outline: Suitable Extender Sequences (W H Woodin).