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Jiang-type theorems for coincidences of maps into homogeneous spaces | | Daniel Vendúscolo
; Peter Wong
; | | Date: |
24 Jan 2007 | | Subject: | Algebraic Topology | | Abstract: | Let $f,g: X o G/K$ be maps from a closed connected orientable manifold $X$ to an orientable coset space $M=G/K$ where $G$ is a compact connected Lie group, $K$ a closed subgroup and $dim X=dim M$. In this paper, we show that if $L(f,g)=0$ then $N(f,g)=0$; if $L(f,g)
e 0$ then $N(f,g)=R(f,g)$ where $L(f,g), N(f,g)$, and $R(f,g)$ denote the Lefschetz, Nielsen, and Reidemeister coincidence numbers of $f$ and $g$, respectively. When $dim X> dim M$, we give conditions under which $N(f,g)=0$ implies $f$ and $g$ are deformable to be coincidence free. | | Source: | arXiv, math/0701702 | | Services: | Forum | Review | PDF | Favorites | |
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