Award Date

May 2017

Degree Type

Dissertation

Degree Name

Doctor of Philosophy (PhD)

Department

Mathematical Sciences

First Committee Member

Derrick DuBose

Second Committee Member

Douglas Burke

Third Committee Member

Peter Shiue

Fourth Committee Member

Pushkin Kachroo

Number of Pages

435

Abstract

Many well-known determinacy results calibrate determinacy strength in terms of large cardinals (e.g., a measurable cardinal) or a "large cardinal type" property (e.g., zero sharp exists). Some of the other results are of the form that subsets of reals of a certain complexity will satisfy a well-known property when a certain amount of determinacy holds. The standard game tree considered in the study of determinacy involves games in which all moves are from omega and all plays have length omega (i.e. the game tree is omega^

Disciplines

Mathematics

Language

English


Included in

Mathematics Commons

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