A resolution theorem for homology cycles of real algebraic varieties

DOI10.1007/BF01388525zbMath0568.14014MaRDI QIDQ1060257

Selman Akbulut, Henry C. King

Publication date: 1985

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143214

zbMATH Keywords

real algebraic setalgebraic resolutionstable algebraic subsets

Mathematics Subject Classification ID

Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Realizing cycles by submanifolds (57R95) Real algebraic and real-analytic geometry (14Pxx)

Related Items

Algebraic obstructions and a complete solution of a rational retraction problem, Framed cobordisms in real algebraic geometry, Algebraicity of cycles on smooth manifolds, Algebraic cycles and algebraic models of smooth manifolds, On the integral Hodge conjecture for real varieties. II

Cites Work

• Real algebraic structures on topological spaces
• The topology of real algebraic sets with isolated singularities
• Resolution of singularities of an algebraic variety over a field of characteristic zero. I
• Quelques propriétés globales des variétés différentiables
• Submanifolds and Homology of Nonsingular Real Algebraic Varieties
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