On nonsymmetric theorems for $(H,G)$-coincidences
Słowa kluczowe
Borsuk-Ulam theorem, ${\Bbb Z}_{p}$-index, $(H, G)$-coincidence, free actionsAbstrakt
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 $\varphi$.Pobrania
Opublikowane
2009-03-01
Jak cytować
1.
DE MATTOS, Denise & DOS SANTOS, Edivaldo L. On nonsymmetric theorems for $(H,G)$-coincidences. Topological Methods in Nonlinear Analysis [online]. 1 marzec 2009, T. 33, nr 1, s. 105–119. [udostępniono 22.7.2024].
Numer
Dział
Articles
Statystyki
Liczba wyświetleń i pobrań: 0
Liczba cytowań: 0