arXiv Open Access 2008

Infinite genus surfaces and irrational polygonal billiards

Ferran Valdez

Lihat Sumber

Abstrak

We prove that the natural invariant surface associated with the billiard game on an irrational polygonal table is homeomorphic to the Loch Ness monster, that is, the only orientable infinite genus topological real surface with exactly one end.

Topik & Kata Kunci

math.DS

Penulis (1)

Ferran Valdez

Format Sitasi

APA MLA BibTeX

Valdez, F. (2008). Infinite genus surfaces and irrational polygonal billiards. https://arxiv.org/abs/0811.0728

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2008
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓