English

On the Infinite Loch Ness monster

Geometric Topology 2017-01-26 v1

Abstract

In this paper we present in a topological way the construction of the orientable surface with only one end and infinite genus, called \emph{The Infinite Loch Ness Monster}. In fact, we introduce a flat and hyperbolic construction of this surface. We discuss how the name of this surface has evolved and how it has been historically understood.

Cite

@article{arxiv.1701.07151,
  title  = {On the Infinite Loch Ness monster},
  author = {John A. Arredondo and Camilo Ramírez Maluendas},
  journal= {arXiv preprint arXiv:1701.07151},
  year   = {2017}
}
R2 v1 2026-06-22T17:59:28.993Z