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.identifier.uri |
https://scholarsbank.uoregon.edu/xmlui/handle/1794/24924 |
|
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.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.name |
Ph.D. |
|
thesis.degree.level |
doctoral |
|
thesis.degree.discipline |
Department of Mathematics |
|
thesis.degree.grantor |
University of Oregon |
|