In mathematics, Jacob's ladder is a surface with infinite genus and two ends. It was named after Jacob's ladder by Étienne Ghys, because the surface can be constructed as the boundary of a ladder that is infinitely long in both directions.
See also Cantor tree surface Loch Ness monster surface
Notes
References Ghys, Étienne (1995), "Topologie des feuilles génériques", Annals of Mathematics, Second Series, 141 (2): 387–422, doi:10.2307/2118526, ISSN 0003-486X, JSTOR 2118526, MR 1324140 Walczak, Paweł (2004), Dynamics of foliations, groups and pseudogroups, Instytut Matematyczny Polskiej Akademii Nauk. Monografie Matematyczne (New Series) [Mathematics Institute of the Polish Academy of Sciences. Mathematical Monographs (New Series)], vol. 64, Birkhäuser Verlag, ISBN 978-3-7643-7091-6, MR 2056374