- Source: Piecewise algebraic space
In mathematics, a piecewise algebraic space is a generalization of a semialgebraic set, introduced by Maxim Kontsevich and Yan Soibelman. The motivation was for the proof of Deligne's conjecture on Hochschild cohomology. Robert Hardt, Pascal Lambrechts, Victor Turchin, and Ismar Volić later developed the theory.
References
Hardt, Robert; Lambrechts, Pascal; Turchin, Victor; Volić, Ismar (2011). "Real homotopy theory of semi-algebraic sets". Algebraic & Geometric Topology. 11 (5): 2477–2545. arXiv:0806.0476. doi:10.2140/agt.2011.11.2477. S2CID 50187913.
Maxim Kontsevich and Yan Soibelman. “Deformations of algebras over operads and the Deligne conjecture”. In: Conférence Moshé Flato 1999, Vol. I (Dijon). Vol. 21. Math. Phys. Stud. Dordrecht: Kluwer Acad. Publ., 2000, pp. 255–307. arXiv: math/0001151.
Kata Kunci Pencarian:
- Piecewise algebraic space
- Semialgebraic set
- Triangulation (topology)
- Three-dimensional space
- Function space
- Irreducibility (mathematics)
- Glossary of algebraic topology
- Piecewise linear function
- Piecewise linear manifold
- Glossary of algebraic geometry
