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On the discrete Conley index in the invariant subspace

✍ Scribed by Andrzej Szymczak; Klaudiusz Wójcik; Piotr Zgliczyński

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
652 KB
Volume
87
Category
Article
ISSN
0166-8641

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✦ Synopsis

We present theorems concerning the relations between the discrete homotopy Conley index in the affine invariant subspace and the index calculated in the entire space or in the half space. Our basic tool is the notion of a representable index pair, i.e., an index pair composed of hypercubes.

As an application we prove an index theorem for homeomorphisms f : lF!F x [0, fm) -W"-' x [O. +o) of compact attraction.

📜 SIMILAR VOLUMES

On Toeplitz-Invariant Subspaces of the B
On Toeplitz-Invariant Subspaces of the Bergman Space
✍ B. Korenblum; M. Stessin 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 524 KB

A subspace \(M \subset L\_{u}^{2}(\Delta)=A\_{2}\) is called an e-subspace if (i) \(\operatorname{dim} M0\) and \(N \geqslant 0\) are integers. For \(k=1\) this implies a sharper form of a theorem of H. Hedenmalm. I 199.3 Academic Press, Inc.