Jacob's ladder surface

{{Short description|Infinite mathematical manifold}}

File:Jacob s ladder surface.png

In mathematics, Jacob's ladder is a surface with infinite genus and two ends. It was named after Jacob's ladder by Étienne {{harvtxt|Ghys|1995|loc=Théorème A}}, because the surface can be constructed as the boundary of a ladder that is infinitely long in both directions.

See also

References

  • {{Citation | last1=Ghys | first1=Étienne |authorlink = Étienne Ghys| title=Topologie des feuilles génériques | doi=10.2307/2118526 |mr=1324140 | year=1995 | journal=Annals of Mathematics |series=Second Series | issn=0003-486X | volume=141 | issue=2 | pages=387–422| jstor=2118526 }}
  • {{Citation | last1=Walczak | first1=Paweł | title=Dynamics of foliations, groups and pseudogroups | url=https://books.google.com/books?id=Tl4WkcHzhIAC | publisher=Birkhäuser Verlag | series=Instytut Matematyczny Polskiej Akademii Nauk. Monografie Matematyczne (New Series) [Mathematics Institute of the Polish Academy of Sciences. Mathematical Monographs (New Series)] | isbn=978-3-7643-7091-6 |mr=2056374 | year=2004 | volume=64}}

Category:Surfaces

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