13 citations · 41 across the 24 of their papers we have counts for
28 papers
Arc-analytic functions on locally closed semialgebraic sets
Janusz Adamus, Matthew R. Aharonian, Sean Coverdale +1
We give a partial generalization of the Kurdyka theory of arc-analytic functions and arc-symmetric sets on Nash manifolds to the setting of arbitrary locally closed semialgebraic s…
Arc-analytic subanalytic functions on complex manifolds
Janusz Adamus, Rasul Shafikov
We show that an arc-analytic subanalytic function on a complex manifold M, which is holomorphic near one point, is a holomorphic function on M. More generally, an arc-analytic suba…
Globally subanalytic arc-symmetric sets
Janusz Adamus
It is shown that every C-semianalytic arc-symmetric set can be realized as the zero locus of an arc-analytic function. As a consequence, a Nash globally subanalytic arc-symmetric s…
On dominating pair degree conditions for hamiltonicity in balanced bipartite digraphs
Janusz Adamus
We prove several new sufficient conditions for hamiltonicity and bipancyclicity in balanced bipartite digraphs, in terms of sums of degrees over dominating or dominated pairs of ve…
Equisingular algebraic approximation of real and complex analytic germs
Janusz Adamus, Aftab Patel
We show that a Cohen-Macaulay analytic singularity can be arbitrarily closely approximated by germs of Nash sets which are also Cohen-Macaulay and share the same Hilbert-Samuel fun…
On solutions of linear equations with polynomial coefficients
Janusz Adamus, Hadi Seyedinejad
We show that a linear functional equation with polynomial coefficients need not admit an arc-analytic solution even if it admits a continuous semialgebraic one. We also show that s…