Swiss cheeses, rational approximation and universal plane curves

J. F. Feinstein, and M. J. Heath. "Swiss cheeses, rational approximation and universal plane curves." Studia Mathematica 196.3 (2010): 289-306. <http://eudml.org/doc/285593>.

@article{J2010,
abstract = {We consider the compact plane sets known as Swiss cheese sets, which are a useful source of examples in the theory of uniform algebras and rational approximation. We develop a theory of allocation maps connected to such sets and we use this theory to modify examples previously constructed in the literature to obtain examples homeomorphic to the Sierpiński carpet. Our techniques also allow us to avoid certain technical difficulties in the literature.},
author = {J. F. Feinstein, M. J. Heath},
journal = {Studia Mathematica},
keywords = {rational approximation; uniform algebras},
language = {eng},
number = {3},
pages = {289-306},
title = {Swiss cheeses, rational approximation and universal plane curves},
url = {http://eudml.org/doc/285593},
volume = {196},
year = {2010},
}

TY - JOUR
AU - J. F. Feinstein
AU - M. J. Heath
TI - Swiss cheeses, rational approximation and universal plane curves
JO - Studia Mathematica
PY - 2010
VL - 196
IS - 3
SP - 289
EP - 306
AB - We consider the compact plane sets known as Swiss cheese sets, which are a useful source of examples in the theory of uniform algebras and rational approximation. We develop a theory of allocation maps connected to such sets and we use this theory to modify examples previously constructed in the literature to obtain examples homeomorphic to the Sierpiński carpet. Our techniques also allow us to avoid certain technical difficulties in the literature.
LA - eng
KW - rational approximation; uniform algebras
UR - http://eudml.org/doc/285593
ER -