arXiv Open Access 2010

Comparability of clopen sets in a zero-dimensional dynamical system

Hisatoshi Yuasa

Lihat Sumber

Abstrak

We consider a homeomorphism on a totally disconnected, compact metric space and define a binary relation on the family of clopen subsets. We will show that the comparability of any clopen sets with respect to the relation is equivalent to the unique ergodicity of the homeomorphism.

Topik & Kata Kunci

math.DS

Penulis (1)

Hisatoshi Yuasa

Format Sitasi

APA MLA BibTeX

Yuasa, H. (2010). Comparability of clopen sets in a zero-dimensional dynamical system. https://arxiv.org/abs/1008.0180

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2010
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓