Relative periodic point theory

Topology and its Applications

Volumn 115, Issue 1, 2001, Pages 97-114

  Collins, Pieter ^a  

^a UNIVERSITY OF LIVERPOOL   (United Kingdom)

Author keywords

Dynamical systems; Lefschetz number; Nielsen theory; Topological entropy

Indexed keywords

EID: 0009901620     PISSN: 0016660X     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0166-8641(00)00049-3     Document Type: Article

References (7)

1. C. Bowszyc, Fixed point theorems for the pairs of spaces, Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 16 (11) (1968) 845-850.
2. P.L. Boyland, H. Aref, M.A. Stremler, Topological fluid mechanics of stirring, Preprint.
3. P.L. Boyland, T. Hall, Isotopy stable dynamics relative to compact invariant sets, Preprint.
4. R. Brown, The Lefschetz Fixed Point Theorem, Scott, Foresman and Company, 1971.
5. P. Collins, Dynamics forced by trellises, in: M. Barge, K. Kuperberg (Eds.), Geometry and Topology in Dynamics, Contemp. Math., Vol. 152, Amer. Math. Soc., Providence, RI, 1999.
6. P. Collins, Surface diffeomorphisms with homoclinic and heteroclinic tangles, Ph.D. Thesis, University of California, Berkeley, CA, 1999.
7. P. Heath, H. Schirmer, C. You, Nielsen type numbers for periodic points on nonconnected spaces, Topology Appl. 63 (1995) 97-116.