Formalization of Structural Properties of Triangulated Categories
| dc.contributor.advisor | Lieblich, Max | |
| dc.contributor.author | Mayer, Leopold | |
| dc.date.accessioned | 2026-08-11T19:32:54Z | |
| dc.date.issued | 2026-08-11 | |
| dc.date.submitted | 2026 | |
| dc.description | Thesis (Ph.D.)--University of Washington, 2026 | |
| dc.description.abstract | This dissertation explores several structural properties of triangulated categories. In particular, it develops theories of generation and dimension, decomposability, and support. Existing notions from the literature are surveyed, new notions are developed, and several interactions between these theories are described. Additionally, a majority of the results are formalized in the proof assistant Lean4. | |
| dc.embargo.terms | Open Access | |
| dc.format.mimetype | application/pdf | |
| dc.identifier.other | Mayer_washington_0250E_29605.pdf | |
| dc.identifier.uri | https://hdl.handle.net/1773/57460 | |
| dc.language.iso | en_US | |
| dc.rights | CC BY | |
| dc.subject | Derived Categories | |
| dc.subject | Formalization | |
| dc.subject | Triangulated Categories | |
| dc.subject | Mathematics | |
| dc.subject.other | Mathematics | |
| dc.title | Formalization of Structural Properties of Triangulated Categories | |
| dc.type | Thesis |
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