On the Infinite Loch Ness monster
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- January 2017
- DOI:
- 10.48550/arXiv.1701.07151
- arXiv:
- arXiv:1701.07151
- Bibcode:
- 2017arXiv170107151A
- Keywords:
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- Mathematics - Geometric Topology;
- 54.75;
- 51M15