The Canonical Grothendieck Topology and a Homotopical Analog
| dc.contributor.advisor | Dugger, Daniel | |
| dc.contributor.author | Lester, Cynthia | |
| dc.date.accessioned | 2019-09-18T19:28:49Z | |
| dc.date.available | 2019-09-18T19:28:49Z | |
| dc.date.issued | 2019-09-18 | |
| dc.description.abstract | We explore the canonical Grothendieck topology and a new homotopical analog. First we discuss a specific description of the covers in the canonical topology, which we then use to get a corollary of Giraud's Theorem. Second we delve into the canonical topology on some specific categories, e.g. on the category of topological spaces and the category of abelian groups; this part includes concrete examples and non-examples. Lastly, we discuss a homotopical analog of the canonical Grothendieck topology and explore some examples of this analog. | en_US |
| dc.identifier.uri | https://hdl.handle.net/1794/24924 | |
| dc.language.iso | en_US | |
| dc.publisher | University of Oregon | |
| dc.rights | All Rights Reserved. | |
| dc.subject | colim sieve | en_US |
| dc.subject | effective epimorphism | en_US |
| dc.subject | generalized sieve | en_US |
| dc.subject | hocolim sieve | en_US |
| dc.subject | homotopical canonical topology | en_US |
| dc.subject | index-functor category | en_US |
| dc.title | The Canonical Grothendieck Topology and a Homotopical Analog | |
| dc.type | Electronic Thesis or Dissertation | |
| thesis.degree.discipline | Department of Mathematics | |
| thesis.degree.grantor | University of Oregon | |
| thesis.degree.level | doctoral | |
| thesis.degree.name | Ph.D. |
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