Construction and properties of the Conley index

Marian Mrozek

Banach Center Publications (1999)

  • Volume: 47, Issue: 1, page 29-40
  • ISSN: 0137-6934

How to cite


Mrozek, Marian. "Construction and properties of the Conley index." Banach Center Publications 47.1 (1999): 29-40. <>.

author = {Mrozek, Marian},
journal = {Banach Center Publications},
keywords = {isolated invariant set; Conley index; index pair; Szymczak functor},
language = {eng},
number = {1},
pages = {29-40},
title = {Construction and properties of the Conley index},
url = {},
volume = {47},
year = {1999},

AU - Mrozek, Marian
TI - Construction and properties of the Conley index
JO - Banach Center Publications
PY - 1999
VL - 47
IS - 1
SP - 29
EP - 40
LA - eng
KW - isolated invariant set; Conley index; index pair; Szymczak functor
UR -
ER -


  1. [1] C. C. Conley, Isolated invariant sets and the Morse index, CBMS no. 38, A.M.S., Providence, R.I., 1978. Zbl0397.34056
  2. [2] T. Kaczynski, Conley index for set valued maps: from theory to computation, this volume. Zbl0946.37004
  3. [3] M. Mrozek, The Conley Index on Compact ANR's is of Finite Type, Results in Math. 18 (1990), 306-313. Zbl0723.54038
  4. [4] M. Mrozek, Shape Index and Other Indices of Conley Type for Continuous Maps on Locally Compact Metric Spaces, Fundamenta Mathematicae 145 (1994), 15-37. Zbl0870.54043
  5. [5] M. Mrozek and K. P. Rybakowski, Cohomological Conley Index for Continuous Maps on Metric Spaces, J. Diff. Equ. 90.1 (1991), 143-171. Zbl0721.58040
  6. [6] J. W. Robbin and D. Salamon, Dynamical systems, shape theory and the Conley index, Erg. Th. and Dynam. Sys. 8* (1988), 375-393. Zbl0682.58040
  7. [7] K. P. Rybakowski, On the Homotopy Index for Infinite Dimensional Semiflows, Trans. AMS 269 (1982), 351-382. Zbl0468.58016
  8. [8] A. Szymczak, The Conley index for discrete dynamical systems, Topology and its Applications 66(1995), 215-240. Zbl0840.34043

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