Some remarks on good sets

DOI10.1007/BF02829443zbMath1081.28003arXivmath/0503092OpenAlexW2089672404MaRDI QIDQ1766204

K. Gowri Navada

Publication date: 28 February 2005

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0503092

zbMATH Keywords

loopgood setfull setrelated component

Mathematics Subject Classification ID

Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05) Measures and integrals in product spaces (28A35)

Related Items (6)

Geometry of good sets in \(n\)-fold Cartesian product ⋮ On the theorem of M. Golomb ⋮ Approximation by ridge functions and neural networks with a bounded number of neurons ⋮ Some further remarks on good sets ⋮ On the representation by sums of algebras of continuous functions ⋮ Approximation by neural networks with weights varying on a finite set of directions

Cites Work

• When is \(f(x,y)=u(x)+v(y)\)?
• When is \(f(x_1,x_1,\dots,x_n)= u_1(x_1)+ u_2(x_2)+\cdots+ u_n(x_n)\)?
• Geometry of good sets in \(n\)-fold Cartesian product

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