The relative coincidence Nielsen number
Jezierski, Jerzy
Fundamenta Mathematicae, Tome 149 (1996), p. 1-18 / Harvested from The Polish Digital Mathematics Library
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We define a relative coincidence Nielsen number Nrel(f,g) for pairs of maps between manifolds, prove a Wecken type theorem for this invariant and give some formulae expressing Nrel(f,g) by the ordinary Nielsen numbers.

Publié le : 1996-01-01
EUDML-ID : urn:eudml:doc:212106 
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     author = {Jerzy Jezierski},
     title = {The relative coincidence Nielsen number},
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     volume = {149},
     year = {1996},
     pages = {1-18},
     zbl = {0846.55003},
     language = {en},
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Jezierski, Jerzy. The relative coincidence Nielsen number. Fundamenta Mathematicae, Tome 149 (1996) pp. 1-18. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-fmv149i1p1bwm/

[00000] [B] R. Brown, The Lefschetz Fixed Point Theorem, Scott, Foresman and Co., New York, 1971. | Zbl 0216.19601

[00001] [BS] R. Brown and H. Schirmer, Nielsen coincidence theory and coincidence-producing maps for manifolds with boundary, Topology Appl. 46 (1992), 65-79. | Zbl 0757.55002

[00002] [DJ] R. Dobreńko and J. Jezierski, The coincidence Nielsen theory on non-orientable manifolds, Rocky Mountain J. Math. 23 (1993), 67-85. | Zbl 0787.55003

[00003] [Je1] J. Jezierski, The Nielsen number product formula for coincidences, Fund. Math. 134 (1989), 183-212. | Zbl 0715.55002

[00004] [Je2] J. Jezierski, The semi-index product formula, ibid. 140 (1992), 99-120.

[00005] [Je3] J. Jezierski, The coincidence Nielsen number for maps into real projective spaces, ibid. 140 (1992), 121-136. | Zbl 0811.55002

[00006] [Je4] J. Jezierski, The coincidence Nielsen theory on topological manifolds, ibid. 143 (1993), 167-178.

[00007] [Je5] J. Jezierski, The Lefschetz coincidence number on non-orientable manifolds, submitted.

[00008] [Ji] B. J. Jiang, Lectures on the Nielsen Fixed Point Theory, Contemp. Math. 14, Amer. Math. Soc., Providence, 1983.

[00009] [S1] H. Schirmer, Mindestzahlen von Koinzidenzpunkten, J. Reine Angew. Math. 194 (1955), 21-39.

[00010] [S2] H. Schirmer, A relative Nielsen number, Pacific J. Math. 122 (1986), 459-473. | Zbl 0553.55001

[00011] [Y] C. Y. You, Fixed points of a fibre map, ibid. 100 (1982), 217-241.