Nielsen theory on 3-manifolds covered by S 2 × ℝ
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| 024 | 7 | 0 | |a 10.1007/s10114-015-3742-6 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10114-015-3742-6 | ||
| 245 | 0 | 0 | |a Nielsen theory on 3-manifolds covered by S 2 × ℝ |h [Elektronische Daten] |c [Daciberg Gonçalves, Peter Wong, Xue Zhao] |
| 520 | 3 | |a Let f : M → M be a self-map of a closed manifold M of dimension dim M ≥ 3. The Nielsen number N(f) of f is equal to the minimal number of fixed points of f′ among all self-maps f′ in the homotopy class of f. In this paper, we determine N(f) for all self-maps f when M is a closed 3-manifold with S 2 × ℝ geometry. The calculation of N(f) relies on the induced homomorphisms of f on the fundamental group and on the second homotopy group of M. | |
| 540 | |a Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg, 2015 | ||
| 690 | 7 | |a Lefschetz number |2 nationallicence | |
| 690 | 7 | |a Nielsen number |2 nationallicence | |
| 690 | 7 | |a 3-manifolds |2 nationallicence | |
| 700 | 1 | |a Gonçalves |D Daciberg |u Dept. de Matemática-IME-USP, Caixa Postal 66.281, CEP 05314-970, São Paulo-SP, Brasil |4 aut | |
| 700 | 1 | |a Wong |D Peter |u Department of Mathematics, Bates College, 04240, Lewiston, ME, USA |4 aut | |
| 700 | 1 | |a Zhao |D Xue |u Department of Mathematics & Institute of Mathematics and Interdisciplinary Science, Capital Normal University, 100048, Beijing, P. R. China |4 aut | |
| 773 | 0 | |t Acta Mathematica Sinica, English Series |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society |g 31/4(2015-04-01), 615-636 |x 1439-8516 |q 31:4<615 |1 2015 |2 31 |o 10114 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10114-015-3742-6 |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10114-015-3742-6 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Gonçalves |D Daciberg |u Dept. de Matemática-IME-USP, Caixa Postal 66.281, CEP 05314-970, São Paulo-SP, Brasil |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Wong |D Peter |u Department of Mathematics, Bates College, 04240, Lewiston, ME, USA |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Zhao |D Xue |u Department of Mathematics & Institute of Mathematics and Interdisciplinary Science, Capital Normal University, 100048, Beijing, P. R. China |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Acta Mathematica Sinica, English Series |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society |g 31/4(2015-04-01), 615-636 |x 1439-8516 |q 31:4<615 |1 2015 |2 31 |o 10114 | ||