Persistent Homology of Semialgebraic Sets
From MaRDI portal
Publication:6087751
DOI10.1137/22m1494415arXiv2202.09591OpenAlexW4387134400MaRDI QIDQ6087751
Publication date: 16 November 2023
Published in: SIAM Journal on Applied Algebra and Geometry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2202.09591
Symbolic computation and algebraic computation (68W30) Classical real and complex (co)homology in algebraic geometry (14F25) Semialgebraic sets and related spaces (14P10) Real algebra (13J30)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A baby step-giant step roadmap algorithm for general algebraic sets
- On the Piano Movers problem. II: General techniques for computing topological properties of real algebraic manifolds
- Computing the first Betti number of a semi-algebraic set
- Counting connected components of a semialgebraic set in subexponential time
- On bounding the Betti numbers and computing the Euler characteristic of semi-algebraic sets
- Computing the Euler-Poincaré characteristics of sign conditions
- Learning algebraic varieties from samples
- Computing the homology of semialgebraic sets. II: General formulas
- Categorification of persistent homology
- Computing the homology of semialgebraic sets. I: Lax formulas
- Persistent homology and microlocal sheaf theory
- Computing the first few Betti numbers of semi-algebraic sets in single exponential time
- Persistent homology of groups
- Computing Roadmaps of General Semi-Algebraic Sets
- The Structure and Stability of Persistence Modules
- Algorithmic Semi-algebraic Geometry and Topology -- Recent Progress and Open Problems
- Morse Theory. (AM-51)
- Semi-Algebraic Local-Triviality in Semi-Algebraic Mappings
- On the homology of algebraic varieties over real closed fields.
- Algorithms in Real Algebraic Geometry: A Survey
- Computing the Homology of Basic Semialgebraic Sets in Weak Exponential Time
- Computing roadmaps of semi-algebraic sets on a variety
- Real Algebraic Geometry
- Decomposition of pointwise finite-dimensional persistence modules
- Computational Topology for Data Analysis
- Topological Persistence in Geometry and Analysis
- Approximation of definable sets by compact families, and upper bounds on homotopy and homology
- On the number of homotopy types of fibres of a definable map
- Barcodes: The persistent topology of data
- Ensembles et morphismes stratifiés
- On the Betti Numbers of Real Varieties
- Using the Borsuk-Ulam theorem. Lectures on topological methods in combinatorics and geometry. Written in cooperation with Anders Björner and Günter M. Ziegler
- Algorithms in real algebraic geometry
- Efficient simplicial replacement of semialgebraic sets
This page was built for publication: Persistent Homology of Semialgebraic Sets
