Degree of T-equivariant maps in ℝⁿ

• Autorzy: Joanna Janczewska , Marcin Styborski
• Języki publikacji: EN

Abstrakty

EN

A special case of G-equivariant degree is defined, where G = ℤ₂, and the action is determined by an involution $T:ℝ^p ⊕ ℝ^q → ℝ^p ⊕ ℝ^q$ given by T(u,v) = (u,-v). The presented construction is self-contained. It is also shown that two T-equivariant gradient maps $f,g:(ℝⁿ,S^{n-1}) → (ℝⁿ,ℝⁿ∖{0})$ are T-homotopic iff they are gradient T-homotopic. This is an equivariant generalization of the result due to Parusiński.

Kategorie tematyczne

• 47H11: Degree theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2007
• Tom: 77
• Numer: 1
• Strony: 147-159

Daty

wydano

2007

Twórcy

autor

Joanna Janczewska

• Department of Technical Physics and Applied Mathematics, Gdańsk University of Technology, Narutowicza 11/12, 80-952 Gdańsk, Poland

autor

Marcin Styborski

• Department of Technical Physics and Applied Mathematics, Gdańsk University of Technology, Narutowicza 11/12, 80-952 Gdańsk, Poland
• Ph.D. student of the Institute of Mathematics, Polish Academy of Sciences

Identyfikatory

DOI

10.4064/bc77-0-11