Z_2 actions on complexes with three non-trivial cells

Details Z_2 actions on complexes with three non-trivial cells Z_2 actions on complexes with three non-trivial cells

2007-08-31

arxiv.org/abs/0708.4310v8

Topology and its Applications, 155 (2008), 965-971

Mathematics

Algebraic Topology

7 pages, appeared in Topology and its Applications

Scientific paper

10.1016/j.topol.2007.12.008

In this paper, we study $Z_2$ actions on a cell complex X having the
cohomology ring isomorphic to that of the wedge sum $P^2 (n) V S^{3n}$ or $S^n
V S^{2n} V S^{3n}$. We determine the possible fixed point sets depending on
whether or not X is totally non-homologous to zero in $X_{Z_2}$ and give
examples realizing the possible cases.

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