The Conley Index over a Base

@inproceedings{Mrozek2000TheCI,
  title={The Conley Index over a Base},
  author={Marian Mrozek and JAMES F. REINECK},
  year={2000}
}
We construct a generalization of the Conley index for flows. The new index preserves information which in the classical case is lost in the process of collapsing the exit set to a point. The new index has most of the properties of the classical index. As examples, we study a flow with a knotted orbit in R3, and the problem of continuing two periodic orbits which are not homotopic as loops. 

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References

Publications referenced by this paper.
Showing 1-10 of 10 references

Publish or Perish

D. Rolfson, Knots, Links
Houston, • 1990

91

I. M. James, Fibrewise Topology, Cambridge Tracts in Math.
Cambridge University Press, Cambridge, • 1989

in: I

I. M. James, General topology over a base
M. James, E. H. Kronheimer (editors), Aspects of Topology, Cambridge University Press, Cambridge, • 1985

Heidelberg

I. M. James, General Topology, +3 authors Berlin
Tokyo, • 1984

38

C. Conley, Isolated Invariant Sets, the Morse Index, CBMS Lecture Notes
Amer. Math. Soc., Providence, RI, • 1978

61

G. W. Whitehead, Elements of Homotopy Theory, Graduate Texts in Math.
SpringerVerlag, New York, Heidelberg, Berlin, • 1978

Polish Scientific Publishers

R. Engelking, General Topology, Monografie Mathematyczne
Warsaw, • 1977

Pwn

K. Borsuk, Theory of Retracts
Warsaw, • 1967

The complement of a finitely generated direct summand of an abelian group

P. M. Cohn
Proc. Amer. Math. Soc • 1956

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