The relative coincidence Nielsen number

• Autorzy: Jerzy Jezierski
• Języki publikacji: EN

Abstrakty

EN

We define a relative coincidence Nielsen number $N_{rel}(f,g)$ for pairs of maps between manifolds, prove a Wecken type theorem for this invariant and give some formulae expressing $N_{rel}(f,g)$ by the ordinary Nielsen numbers.

Kategorie tematyczne

• 55M20: Fixed points and coincidences
• 57N99: None of the above, but in this section

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 1996
• Tom: 149
• Numer: 1
• Strony: 1-18

Daty

wydano

1996

otrzymano

1992-12-10

poprawiono

1995-05-12

Twórcy

autor

Jerzy Jezierski

• Department of Mathematics, University of Agriculture, Nowoursynowska 166, 02-766 Warszawa, Poland

Bibliografia

• [B] R. Brown, The Lefschetz Fixed Point Theorem, Scott, Foresman and Co., New York, 1971.
• [BS] R. Brown and H. Schirmer, Nielsen coincidence theory and coincidence-producing maps for manifolds with boundary, Topology Appl. 46 (1992), 65-79.
• [DJ] R. Dobreńko and J. Jezierski, The coincidence Nielsen theory on non-orientable manifolds, Rocky Mountain J. Math. 23 (1993), 67-85.
• [Je1] J. Jezierski, The Nielsen number product formula for coincidences, Fund. Math. 134 (1989), 183-212.
• [Je2] J. Jezierski, The semi-index product formula, ibid. 140 (1992), 99-120.
• [Je3] J. Jezierski, The coincidence Nielsen number for maps into real projective spaces, ibid. 140 (1992), 121-136.
• [Je4] J. Jezierski, The coincidence Nielsen theory on topological manifolds, ibid. 143 (1993), 167-178.
• [Je5] J. Jezierski, The Lefschetz coincidence number on non-orientable manifolds, submitted.
• [Ji] B. J. Jiang, Lectures on the Nielsen Fixed Point Theory, Contemp. Math. 14, Amer. Math. Soc., Providence, 1983.
• [S1] H. Schirmer, Mindestzahlen von Koinzidenzpunkten, J. Reine Angew. Math. 194 (1955), 21-39.
• [S2] H. Schirmer, A relative Nielsen number, Pacific J. Math. 122 (1986), 459-473.
• [Y] C. Y. You, Fixed points of a fibre map, ibid. 100 (1982), 217-241.