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
File Format
Degree Grantor
University of Nevada, Las Vegas
Language
English
Repository Citation
Ikeda, Emi, "Investigation of Determinacy for Games of Variable Length" (2017). UNLV Theses, Dissertations, Professional Papers, and Capstones. 2987.
http://dx.doi.org/10.34917/10985942
Rights
IN COPYRIGHT. For more information about this rights statement, please visit http://rightsstatements.org/vocab/InC/1.0/