# The Conley index for flows preserving generalized symmetries

Banach Center Publications (1999)

- Volume: 47, Issue: 1, page 193-217
- ISSN: 0137-6934

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topPruszko, Artur. "The Conley index for flows preserving generalized symmetries." Banach Center Publications 47.1 (1999): 193-217. <http://eudml.org/doc/208933>.

@article{Pruszko1999,

abstract = {Topological spaces with generalized symmetries are defined and extensions of the Conley index of a compact isolated invariant set of the flow preserving the structures introduced are proposed. One of the two new indexes is constructed with no additional assumption on the examined set in terms of symmetry invariance.},

author = {Pruszko, Artur},

journal = {Banach Center Publications},

keywords = {generalized symmetry; group action; isolated invariant set; Conley index},

language = {eng},

number = {1},

pages = {193-217},

title = {The Conley index for flows preserving generalized symmetries},

url = {http://eudml.org/doc/208933},

volume = {47},

year = {1999},

}

TY - JOUR

AU - Pruszko, Artur

TI - The Conley index for flows preserving generalized symmetries

JO - Banach Center Publications

PY - 1999

VL - 47

IS - 1

SP - 193

EP - 217

AB - Topological spaces with generalized symmetries are defined and extensions of the Conley index of a compact isolated invariant set of the flow preserving the structures introduced are proposed. One of the two new indexes is constructed with no additional assumption on the examined set in terms of symmetry invariance.

LA - eng

KW - generalized symmetry; group action; isolated invariant set; Conley index

UR - http://eudml.org/doc/208933

ER -

## References

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- [R] K. P. Rybakowski, The Homotopy Index and Partial Differential Equations, Springer, Berlin 1987. Zbl0628.58006
- [S] D. Salamon, Connected Simple Systems and the Conley Index of Isolated Invariant Sets, Trans. Amer. Math. Soc. 291 (1985), 1-41. Zbl0573.58020
- [Sz] A. Szymczak, The Conley Index for Discrete Semidynamical Systems, Top. Appl. 66 (1995), 215-240. Zbl0840.34043
- [W] T. Ważewski, Sur un principe topologique de l'examen de l'allure asymptotique des intégrales des équations différentielles, Ann. Soc. Polon. Math. 20 (1947), 249-313. Zbl0032.35001
- [Wh] G. W. Whitehead, Elements of Homotopy Theory, Springer, New York 1978.

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