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Everything about T-structure
Concept in homological algebra
In the branch of mathematics called homological algebra, a t-structure is a way to axiomatize the properties of an abelian subcategory of a derived category. A t-structure on consists of two subcategories of a triangulated category or stable infinity category which abstract the idea of complexes whose cohomology vanishes in positive, respectively negative, degrees. There can be many distinct t-structures on the same category, and the interplay between these structures has implications for algebra and geometry. The notion of a t-structure arose in the work of Beilinson, Bernstein, Deligne, and Gabber on perverse sheaves. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: T-structureA 5-minute orientation
- Skim a recent paper: Accurate structure prediction of biomolecular interactions with AlphaFold 3Influential work since 2022
- Pick up a classic book: Modern Operating SystemsThe most-reprinted book on the subject
- Read the landmark paper: Cutoff criteria for fit indexes in covariance structure analysis: Conventional criteria versus new alternativesCited 91,619 times
- Go sideways: Derived categoryA closely related topic
- Go sideways: Markov propertyA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🏆 Landmark papers (most cited)
Cutoff criteria for fit indexes in covariance structure analysis: Conventional criteria versus new alternatives
Theory of the firm: Managerial behavior, agency costs and ownership structure
Highly accurate protein structure prediction with AlphaFold
Crystal structure refinement with SHELXL
OLEX2 : a complete structure solution, refinement and analysis program
Coefficient Alpha and the Internal Structure of Tests
SHELXT – Integrated space-group and crystal-structure determination
Inference of Population Structure Using Multilocus Genotype Data
🆕 Influential since 2022
Accurate structure prediction of biomolecular interactions with AlphaFold 3
Evolutionary-scale prediction of atomic-level protein structure with a language model
UCSF ChimeraX : Tools for structure building and analysis
Fast and accurate protein structure search with Foldseek
De novo design of protein structure and function with RFdiffusion
📚 Books worth reading
Modern Operating SystemsAndrew S. Tanenbaum, Herbert Bos · 1992
Gemeinschaft und GesellschaftFerdinand Tönnies · 1912
Project managementDennis Lock · 1968
The ritual processVictor Witter Turner · 1969
The color of justiceWalker, Samuel, Cassia Spohn · 1995
The ritual processVictor Witter Turner · 1966
The Sense of Biblical Narrative IIDavid Jobling · 1986
Structural geologyRobert J. Twiss, Eldridge M. Moores · 1992
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
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