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In mathematics, Jacob's ladder is a
In mathematics, Jacob's ladder is a surface
A surface, as the term is most generally used, is the outermost or uppermost layer of a physical object or space. It is the portion or region of the object that can first be perceived by an observer using the senses of sight and touch, and is ...
with infinite genus
Genus ( plural genera ) is a taxonomic rank used in the biological classification of living and fossil organisms as well as viruses. In the hierarchy of biological classification, genus comes above species and below family. In binomial nom ...
and two ends
End, END, Ending, or variation, may refer to:
End
*In mathematics:
**End (category theory)
** End (topology)
**End (graph theory)
** End (group theory) (a subcase of the previous)
**End (endomorphism)
*In sports and games
** End (gridiron footbal ...
. It was named after Jacob's ladder
Jacob's Ladder ( he, סֻלָּם יַעֲקֹב ) is a ladder leading to heaven that was featured in a dream the biblical Patriarch Jacob had during his flight from his brother Esau in the Book of Genesis (chapter 28).
The significance of th ...
by Étienne , because the surface can be constructed as the boundary of a ladder that is infinitely long in both directions.
See also
*Cantor tree surface
In dynamical systems, the Cantor tree is an infinite-genus surface homeomorphic to a sphere with a Cantor set removed. The blooming Cantor tree is a Cantor tree with an infinite number of handles added in such a way that every end is a limit of ha ...
* Loch Ness monster surface
References
* * Surfaces {{Topology-stub