3 papers
math.DS2019
Gradient versus proper gradient homotopies
Piotr Bartłomiejczyk, Piotr Nowak-Przygodzki
We compare the sets of homotopy classes of gradient and proper gradient vector fields in the plane. Namely, we show that gradient and proper gradient homotopy classifications are e…
math.AT2018
Topological degree for equivariant gradient perturbations of an unbounded self-adjoint operator in Hilbert space
Piotr Bartłomiejczyk, Bartosz Kamedulski, Piotr Nowak-Przygodzki
We present a version of the equivariant gradient degree defined for equivariant gradient perturbations of an equivariant unbounded self-adjoint operator with purely discrete spectr…
math.AT2018
Degree product formula in the case of a finite group action
Piotr Bartłomiejczyk, Bartosz Kamedulski, Piotr Nowak-Przygodzki
Let be finite-dimensional orthogonal representations of a finite group . The equivariant degree with values in the Burnside ring of has been studied extensively by ma…