28 citations · 50 across the 13 of their papers we have counts for
Showing 2017Show all
3 papers · 1 filter
math.AG2017
Nash regulous functions
Wojciech Kucharz
A real-valued function on R^n is k-regulous, where k is a nonnegative integer, if it is of class C^k and can be represented as a quotient of two polynomial functions on R^n. Severa…
math.AG2017
Piecewise-regular maps
Wojciech Kucharz
Let V, W be real algebraic varieties (that is, up to isomorphism, real algebraic sets), and let X be a subset of V. A map f from X into W is said to be regular if it can be extende…
math.AG2017★ 2 cited
Regulous vector bundles
Wojciech Kucharz, Maciej Zieliński
Among recently introduced new notions in real algebraic geometry is that of regulous functions. Such functions form a foundation for the development of regulous geometry. Several i…