Publication Date
8-2021
Date of Final Oral Examination (Defense)
7-6-2021
Type of Culminating Activity
Thesis
Degree Title
Master of Science in Mathematics
Department
Mathematics
Supervisory Committee Chair
Samuel Coskey, Ph.D.
Supervisory Committee Member
Paul Ellis, Ph.D.
Supervisory Committee Member
John Clemens, Ph.D.
Supervisory Committee Member
Marion Scheepers, Ph.D.
Abstract
Let A = (A−, A+, A) and B = (B−, B+, B) be relations. A morphism is a pair of maps φ− : B− → A− and φ+ : A+ → B+ such that for all b ∈ B− and a ∈ A+, φ−(b)Aa ⟹ bBφ+(a). We study the existence of morphisms between finite relations. The ultimate goal is to identify the conditions under which morphisms exist. In this thesis we present some progress towards that goal. We use computation to verify the results for small finite relations.
DOI
https://doi.org/10.18122/td.1868.boisestate
Recommended Citation
Barton, Rhett, "Tukey Morphisms Between Finite Binary Relations" (2021). Boise State University Theses and Dissertations. 1868.
https://doi.org/10.18122/td.1868.boisestate