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Everything about Hom functor
Functor mapping hom objects to an underlying category
In mathematics, specifically in category theory, hom-sets give rise to important functors to the category of sets. These functors are called hom-functors and have numerous applications in category theory and other branches of mathematics. Wikipedia →
🧠Start here: a 6-step reading path
- Read the overview: Hom functorA 5-minute orientation
- Skim a recent paper: Abelian quotients of the Y –filtration on the homology cylinders via the LMO functorInfluential work since 2022
- Pick up a classic book: Computational algebraic geometryThe most-reprinted book on the subject
- Read the landmark paper: Leray functor and cohomological Conley index for discrete dynamical systemsCited 83 times
- Go sideways: Glossary of category theoryA closely related topic
- Go sideways: FunctorA closely related topic
đź“– Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Leray functor and cohomological Conley index for discrete dynamical systems
General Linear and Functor Cohomology Over Finite Fields
An analogue of the Hom functor and a generalized nuclear democracy theorem
The Functor Hom and Cotorsion Theories
Hom Functor and the Associativity of Tensor Products of Modules for Vertex Operator Algebras
Homotopy in functor categories
Direct products and the contravariant hom-functor
Projective S-Posets and Hom Functor
🆕 Influential since 2022
đź“š Books worth reading
Computational algebraic geometryHal Schenck · 2003
Homotopy Theory of Higher CategoriesCarlos Simpson · 2011
Biset functors for finite groupsSerge Bouc · 2010- 📕Die Vertauschbarkeit des Hom-Funktors mit direkten SummenRudolf Rentschler · 1967
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
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