McCord (1991) claimed that Nielsen coincidence numbers and Lefschetz coincidence numbers are related by the inequality N(f,g) 2 IL(f,g)l f or all maps f, g : S1 --t SZ between compact orientable solvmanifolds of the same dimension. It was further claimed that N(f, g) = lL(f, g)l when ,572 is a ni
โฆ LIBER โฆ
Lefschetz and Nielsen coincidence numbers on nilmanifolds and solvmanifolds
โ Scribed by Christopher K. McCord
- Book ID
- 104188108
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 893 KB
- Volume
- 43
- Category
- Article
- ISSN
- 0166-8641
No coin nor oath required. For personal study only.
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In the first paper we showed for all maps f on nilmanifolds, and for weakly Jiang maps on solvmanifolds, that the Nielsen periodic numbers NP n (f ) and Nฮฆ n (f ) can be computed from the (highly computable) collection of ordinary Nielsen numbers {N(f m ): m|n}. For non-weakly Jiang maps this is no
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