@misc{10481/70882,
year = {2018},
month = {6},
url = {http://hdl.handle.net/10481/70882},
abstract = {Suppose M is a complete, embedded minimal surface in R3 with an infinite number
of ends, finite genus and compact boundary. We prove that the simple limit ends of
M have properly embedded representatives with compact boundary, genus zero and with
constrained geometry. We use this result to show that if M has at least two simple limit
ends, then M has exactly two simple limit ends. Furthermore, we demonstrate that M is
properly embedded in R3 if and only ifM has at most two limit ends if and only ifM has
a countable number of limit ends.},
organization = {NSF under Award No. DMS - 1309236},
organization = {MINECO/FEDER grants no. MTM2014-52368-P and MTM2017-89677-P},
publisher = {Duke University},
keywords = {Proper minimal surface},
keywords = {Embedded Calabi-Yau problem},
keywords = {Minimal lamination},
keywords = {Limit end},
keywords = {Injectivity radius function},
keywords = {Locally simply connected},
title = {The embedded Calabi-Yau conjecture for finite genus},
author = {Meeks III, William H. and Pérez Muñoz, Joaquín and Ros Mulero, Antonio},
}