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Everything about Delta set
Abstraction useful in the construction and triangulation of topological spaces
In mathematics, a Δ-set, often called a Δ-complex or a semi-simplicial set, is a combinatorial object that is useful in the construction and triangulation of topological spaces, and also in the computation of related algebraic invariants of such spaces. A Δ-set is somewhat more general than a simplicial complex, yet not quite as sophisticated as a simplicial set. Simplicial sets have additional structure, so that every simplicial set is also a semi-simplicial set. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Delta setA 5-minute orientation
- Skim a recent paper: Reachable Set of Low-Delta-v Trajectories Following a Gravity-Assist FlybyInfluential work since 2022
- Pick up a classic book: Foundations-Vocabulary Photo CardsThe most-reprinted book on the subject
- Read the landmark paper: Discretization of Dirac delta functions in level set methodsCited 177 times
- Go sideways: Kan fibrationA closely related topic
- Go sideways: Barycentric subdivisionA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Discretization of Dirac delta functions in level set methods
Soil quality assessment in Yellow River Delta: Establishing a minimum data set and fuzzy logic model
The numerical approximation of a delta function with application to level set methods
Experimental river delta size set by multiple floods and backwater hydrodynamics
The small-angle and wide-angle X-ray scattering set-up at beamline BL9 of DELTA
Delta function approximations in level set methods by distance function extension
Ordered set partitions, generalized coinvariant algebras, and the Delta Conjecture
Delta-method inference for a class of set-identified SVARs
🆕 Influential since 2022
Reachable Set of Low-Delta-v Trajectories Following a Gravity-Assist Flyby
Optimization of Robust Control for the Uncertain Delta-Type Parallel Manipulator with Active Constraints: A Fuzzy-Set Theory-Based Approach
Delta‐convex structure of the singular set of distance functions
Listing all delta partitions of a given set: Algorithm design and results
The set of maximal points of an $\boldsymbol{\omega}$ -domain need not be a $\boldsymbol{G}_{\boldsymbol{\delta}}$ -set
📚 Books worth reading
- 📕Foundations-Vocabulary Photo CardsBill Bliss · 2000
The Vietnamese WarDavid W. P. Elliott · 2002
Glued to the setSteven D. Stark · 1997- 📕Delta-Sigma Data Converters and Principles of Data Conversion System Design SetBehazad Razavi · 1997
Fan deltasR. J. Steel · 1988- 📕To set the darkness echoingWilliam Bedford · 1977
Rough set data analysisIvo Düntsch · 2000
H [delta]-embeddings in Hilbert space and optimization on G [delta]-setsN. Ghoussoub · 1986
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
- Kan fibration In mathematics, Kan complexes and Kan fibrations are part of the theory of simplicial sets. Kan fibrations are the fibrations of the standard model category…
- Barycentric subdivision In mathematics, the barycentric subdivision is a standard way to subdivide a given simplex into smaller ones. Its extension to simplicial complexes is…
- Triangulation (topology) In mathematics, triangulation describes the replacement of topological spaces with simplicial complexes by the choice of an appropriate homeomorphism.…
- Homology (mathematics) In mathematics, the term homology, originally introduced in algebraic topology, has three primary, closely related usages. First, there is the homology…
- Čech cohomology In mathematics, specifically algebraic topology, Čech cohomology is a cohomology theory based on the intersection properties of open covers of a topological…
- Join (topology) In topology, a field of mathematics, the join of two topological spaces A {\displaystyle A} and B {\displaystyle B} , often denoted by A ∗ B {\displaystyle…
- Hochschild homology In mathematics, Hochschild homology (and cohomology) is a homology theory for associative algebras over rings. There is also a theory for Hochschild homology…
- Simplicial set In mathematics, a simplicial set is a sequence of sets with internal order structure (abstract simplices) and maps between them. Simplicial sets are higher-dime…