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Everything about Filtered category
In category theory, filtered categories generalize the notion of directed set understood as a category. There is a dual notion of cofiltered category, which will be recalled below. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Filtered categoryA 5-minute orientation
- Skim a recent paper: Tame and wild theorem for the category of modules filtered by standard modulesInfluential work since 2022
- Pick up a classic book: Teorema del coeficiente universal para cohomologíaThe most-reprinted book on the subject
- Read the landmark paper: Sustainable cyberbullying detection with category-maximized relevance of harmful phrases and double-filtered automatic optimizationCited 48 times
- Go sideways: DerivatorA closely related topic
- Go sideways: Presheaf (category theory)A closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Sustainable cyberbullying detection with category-maximized relevance of harmful phrases and double-filtered automatic optimization
Identification of spatially filtered stimuli as function of the semantic category
Enhancing the filtered derived category
Early experience with low-pass filtered images facilitates visual category learning in a neural network model
Category-specific visual identification of filtered objects in Alzheimer's disease
A filtered category 𝒪_{𝒮} and applications
The combinatorial category of Andersen, Jantzen and Soergel and filtered moment graph sheaves
Localizing subcategories in the bootstrap category of filtered C*-algebras
🆕 Influential since 2022
📚 Books worth reading
- 📕Teorema del coeficiente universal para cohomologíaB. Amaro Caamaño · 1973
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
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