Award Date

12-15-2019

Degree Type

Thesis

Degree Name

Master of Science (MS)

Department

Mathematical Sciences

First Committee Member

Douglas Burke

Second Committee Member

Michelle Robinette

Third Committee Member

Peter Shiue

Fourth Committee Member

Dave Beisecker

Number of Pages

59

Abstract

It is well-known that the body of a game tree of height less than or equal to ω is compact

if and only if the tree is finitely branching. In this thesis, we develop necessary and sufficient

conditions for the body of any game tree to be compact.

Keywords

Compact Space; Determinacy; Game Trees; Long Games; Set Theory; Tree Topology

Disciplines

Mathematics

File Format

pdf

File Size

10.8 MB

Degree Grantor

University of Nevada, Las Vegas

Language

English

Rights

IN COPYRIGHT. For more information about this rights statement, please visit http://rightsstatements.org/vocab/InC/1.0/

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Included in

Mathematics Commons

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