COINCIDENCE OF MAPS BETWEEN SURFACES

  • Goncalves, Daciberg L. (Departamento de Matem tica-IME-USP)
  • Published : 1999.03.01

Abstract

We will consider f,g : S1longrightarrowS2 a pair of maps between two orientable compact surfaces. The purpose of this paper is to decide when the pair can be deformed to a pair (f', g') such that

Keywords

References

  1. Lectures Notes in Mathematics v.628 Obstruction theory Baues, H. J.
  2. Pacific Journal of Mathematics v.40 no.1 On removing coincidences of two maps when only one, rather than both of them, may be deformed by a homotopy Brook, R. B. S.
  3. Die Grundlegren der Mathematischen Wissenschaften v.200 Lectures on algebraic topology Dold, A
  4. Proceedings of the London Mathematical Society v.16 no.3 The degree of a map Epstein, D. B. A.
  5. Trans. Am. Math. Soc v.114 Generalized normal bundles for locally-flat imbeddings Fadell, E.
  6. Topological methods in non linear functional analysis v.21 The Nielsen number on surfaces, Contemporary Mathematics Fadell, E.;Husseini, S.
  7. Topology v.20 Fixed point theory for non simply connected manifolds Fadell, E.;Husseini, S.
  8. Pacific Journal of Mathematics v.129 no.12 Fixed points of $S^1$ -fibrations Goncalves, D. L.
  9. Math. Annalen v.102 Zur Topologie der Abbildungen von Mannigfalltigkeiten Ⅱ Hopf, H.
  10. J. Austral. Math. Soc. (Series A) v.58 The least number of coincidence points on surfaces Jezierski, J.
  11. Lectures Notes in Math v.886 The fixed point classes from the differential view point, Jiang, B.
  12. Math. Ann v.272 Fixed points and braids Ⅱ Jiang, B.
  13. Lecture Notes in Math v.1369 Surface maps and braid equations, I Jiang, B.
  14. The theory of fixed point classes Kiang, T. H.
  15. Math. Ann v.100 Glattung von Flachenabbildungen Kneser, H.
  16. Math. Ann v.103 Die Kleinste Bedeckungszahlinnerhalb einer Klasse von Flachenabbildungen Kneser, H.
  17. Ph. D. Thesis Teoria de Nielsen para coincidencia e algumas aplicacoes Oliveira, E.
  18. Comm. Math. Helv v.28 Quelques proprietes globales des varietes differentiables Thom, R.
  19. Homology theory Vick, J.
  20. Lectures Notes in Mathematics v.835 Surfaces and planes discontinuous groups Zieschang, H.;Vogt, E.;Coldewey, H. D.