arXiv (All)
open access
From Pre-triangulation to Triangulation: Obstructions and Exact Lifting
We give a new equivalent formulation of Verdier's octahedral axiom. An initial square in a pre-triangulated category determines an obstruction in a quotient of ordinary Hom groups. Its vanishing is equivalent to the existence of a good completion, and $\mathrm{TR4}$ is equivalent to this vanishing f
Conceptio Open Archive
Analyze & explore related research in Conceptio
Connect this record directly into your research workflow or AI agent. Explore citations across open repositories, query full text, and export structured proof bundles.
This document is indexed with metadata only: full text is not available in the archive for this record. Open the official source ↗
Related documents
- A right pretriangulated category which is not right triangulated#820030
- Cohomology of Lie algebroids over topological ringed spaces#1108883
- Wandering the Way: A Eudaimonistic Approach to the Zhuāngzǐ#165045
- Overturning Soul-Body Dualism in Plato's Timaeus#75691
- A note on test elements for monomorphisms of free groups#972876
Record · ID 1013679
Retrieved via Conceptio: every document is proof-bundled with source, license, and retrieval metadata.
Retrieved via Conceptio: every document is proof-bundled with source, license, and retrieval metadata.
Bring this data into your agent: Connect via MCP or API · 20 free credits to start · no card required
Read the Docs → · View CLI source on GitHub · Conceptio Open Knowledge Archive
Read the Docs → · View CLI source on GitHub · Conceptio Open Knowledge Archive