Everything about Inverse limit
Construction in category theory
In mathematics, an inverse limit is a construction that allows one to "glue together" several related objects, the precise gluing process being specified by morphisms between the objects. Inverse limits can be defined in any category, although their existence depends on the category that is considered. They are a special case of the concept of a limit in category theory. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Inverse limitA 5-minute orientation
- Skim a recent paper: Inverse kinematics for a 7-DOF humanoid robotic arm with joint limit and end pose couplingInfluential work since 2022
- Pick up a classic book: Esquisse de cours 12e annéeThe most-reprinted book on the subject
- Read the landmark paper: Properties of Semiconductor Surface Inversion Layers in the Electric Quantum LimitCited 1,786 times
- Go sideways: Direct limitA closely related topic
- Go sideways: Étale cohomologyA closely related topic
📖 Definitions
Noun A subset of the Cartesian product of all the members of an inverse system, such that a member M of the subset is a sort of “cross section” of the inverse system (as fiber bundle) induced by the morphisms of it. (If i≤j in the indexing poset then fij:Aj→Ai in the inverse system and if ai∈Ai, aj∈Aj are components of M then fij(aj)=ai).
Noun a limit
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Properties of Semiconductor Surface Inversion Layers in the Electric Quantum Limit
Three limit representations of the core-EP inverse
Inverse limit sequences with covering maps
Dense inverse limit rings.
Inverse limit spaces
TOPOLOGY OF LIMIT SPACES OF UNCOUNTABLE INVERSE SPECTRA
Shadowing property for inverse limit spaces
Hyperspaces of the inverse limit space
🆕 Influential since 2022
Inverse kinematics for a 7-DOF humanoid robotic arm with joint limit and end pose coupling
Novel RORγt inverse agonists limit IL-17-mediated liver inflammation and fibrosis
Digital Inverse Multiplexing for Transmitters With Symbol Rates Over DAC Bandwidth Limit
Computational upper-limit of directional light emission in nano-LED via inverse design
The Lelek Fan as the Inverse Limit of Intervals with a Single Set-Valued Bonding Function Whose Graph is an Arc
📚 Books worth reading
- 📕Esquisse de cours 12e annéeOntario. · 2002
Inverse boundary spectral problemsAlexander Kachalov, Yaroslav Kurylev · 2001- 📕Confidence set inference with a prior quadratic boundGeorge Backus · 1988
Topics on continuaSergio Macías · 2005
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
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