Degree of T-equivariant maps in ℝⁿ

Joanna Janczewska, and Marcin Styborski. "Degree of T-equivariant maps in ℝⁿ." Banach Center Publications 77.1 (2007): 147-159. <http://eudml.org/doc/281595>.

@article{JoannaJanczewska2007,
abstract = {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.},
author = {Joanna Janczewska, Marcin Styborski},
journal = {Banach Center Publications},
keywords = {degree; involution; -equivariant map; gradient map; -homotopic},
language = {eng},
number = {1},
pages = {147-159},
title = {Degree of T-equivariant maps in ℝⁿ},
url = {http://eudml.org/doc/281595},
volume = {77},
year = {2007},
}

TY - JOUR
AU - Joanna Janczewska
AU - Marcin Styborski
TI - Degree of T-equivariant maps in ℝⁿ
JO - Banach Center Publications
PY - 2007
VL - 77
IS - 1
SP - 147
EP - 159
AB - 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.
LA - eng
KW - degree; involution; -equivariant map; gradient map; -homotopic
UR - http://eudml.org/doc/281595
ER -