On nonsymmetric theorems for $(H,G)$-coincidences
Keywords
Borsuk-Ulam theorem, ${\Bbb Z}_{p}$-index, $(H, G)$-coincidence, free actionsAbstract
Let $X$ be a compact Hausdorff space, $\varphi\colon X\to S^{n}$ a continuous map into the $n$-sphere $S^n$ that induces a nonzero homomorphism $\varphi^{*}\colon H^{n}(S^{n};{\mathbb Z}_{p})\to H^{n}(X;{\mathbb Z}_{p})$, $Y$ a $k$-dimensional CW-complex and $f\colon X\to Y$ a continuous map. Let $G$ a finite group which acts freely on $S^{n}$. Suppose that $H\subset G$ is a normal cyclic subgroup of a prime order. In this paper, we define and we estimate the cohomological dimension of the set $A_{\varphi}(f,H,G)$ of $(H,G)$-coincidence points of $f$ relative to $\varphi$.Downloads
Published
2009-03-01
How to Cite
1.
DE MATTOS, Denise and DOS SANTOS, Edivaldo L. On nonsymmetric theorems for $(H,G)$-coincidences. Topological Methods in Nonlinear Analysis. Online. 1 March 2009. Vol. 33, no. 1, pp. 105 - 119. [Accessed 19 September 2024].
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