arXiv Open Access 2021

Conley index theory without index pairs. I: The point-set level theory

Yosuke Morita

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Abstrak

We propose a new framework for Conley index theory. The main feature of our approach is that we do not use the notion of index pairs. We introduce, instead, the notions of compactifiable subsets and index neighbourhoods, and formulate and prove basic results in Conley index theory using these notions. We treat both the discrete time case and the continuous time case.

Topik & Kata Kunci

math.DS

Penulis (1)

Yosuke Morita

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APA MLA BibTeX

Morita, Y. (2021). Conley index theory without index pairs. I: The point-set level theory. https://arxiv.org/abs/2109.10588

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Informasi Jurnal

Tahun Terbit: 2021
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓