An example concerning equivariant deformations
Keywords
$Z_2$-space, equivariant deformations, fixed point free mapsAbstract
We give an example of $Z_2$-space $X$ with a property that the identity map $\text{\rm{id}}_X:X\to X$ as well as its restriction to the fixed point set of the group action $\text{\rm{id}}^{Z_2}:X^{Z_2}\to X^{Z_2}$ are deformable to fixed point free maps whereas there is no fixed point free map in the equivariant homotopy class of the identity $[\text{\rm{id}}_X]_{ Z_2}$.Downloads
Published
2000-03-01
How to Cite
1.
IZYDOREK, Marek and VIDAL, Antonio. An example concerning equivariant deformations. Topological Methods in Nonlinear Analysis. Online. 1 March 2000. Vol. 15, no. 1, pp. 187 - 190. [Accessed 24 April 2024].
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