Dissertations, Theses, and Capstone Projects
Date of Degree
6-2023
Document Type
Dissertation
Degree Name
Ph.D.
Program
Mathematics
Advisor
John Terilla
Committee Members
Thomas Tradler
Noson Yanofsky
Mahmoud Zeinalian
Subject Categories
Geometry and Topology | Other Mathematics
Keywords
sheaf, category theory, topology, topos
Abstract
This document details the body of theory necessary to explicitly construct sheaves of sets on a site together with the development of supporting material necessary to connect sheaf theory with the wider mathematical contexts in which it is applied. Of particular interest is a novel presentation of the plus construction suitable for direct application to a site without first passing to the generated grothendieck topology.
Recommended Citation
Bryson, Tyler A., "An Explicit Construction of Sheaves in Context" (2023). CUNY Academic Works.
https://academicworks.cuny.edu/gc_etds/5318