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ArticleOriginal scientific text

Title

On perturbation of continuous maps

Authors 1

Affiliations

  1. ICMC, USP, Caixa Postal 668, 13560-970 São Carlos, SP, Brazil

Abstract

In [1], the concept of singular isolating neighborhoods for a continuous family of continuous maps was presented. The work was based on Conley's result for a continuous family of continuous flows (cf. [2]). In this note, we study a particular family of continuous maps to illustrate the results in [1].

Bibliography

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  3. C. Conley, Isolated Invariant Sets and the Morse Index, CBMS Reg. Conf. Ser. in Math., 38, AMS, Providence, 1978.
  4. V. Hutson and K. Mischaikow, An approach to practical persistence, J. Math. Biol. 37 (1998), 447-466.
  5. K. Mischaikow, M. Mrozek, J. Reineck, Singular index pairs, J. Dyn. Diff. Eq., to appear.
  6. M. Mrozek, Leray functor and cohomological Conley index for discrete dynamical systems, Trans. AMS 318 (1990), 149-178.
  7. M. Mrozek and K. P. Rybakowski, A cohomological Conley index for maps on metric spaces, J. Differential Equations 89 (1991), 143-171.
  8. A. Szymczak, The Conley index for discrete semidynamical systems, Topology Appl. 66 (1996), 215-240.
Banach Center Publications
1999/47/1
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Pages:
79-90
Main language of publication
English
Published
1999
Exact and natural sciences