Closure Theorem for Partially Semialgebraic Sets

María-Angeles Zurro. "Closure Theorem for Partially Semialgebraic Sets." Bulletin of the Polish Academy of Sciences. Mathematics 55.4 (2007): 325-331. <http://eudml.org/doc/281311>.

@article{María2007,
abstract = {In 1988 it was proved by the first author that the closure of a partially semialgebraic set is partially semialgebraic. The essential tool used in that proof was the regular separation property. Here we give another proof without using this tool, based on the semianalytic L-cone theorem (Theorem 2), a semianalytic analog of the Cartan-Remmert-Stein lemma with parameters.},
author = {María-Angeles Zurro},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {semianalytic sets; closure theorem},
language = {eng},
number = {4},
pages = {325-331},
title = {Closure Theorem for Partially Semialgebraic Sets},
url = {http://eudml.org/doc/281311},
volume = {55},
year = {2007},
}

TY - JOUR
AU - María-Angeles Zurro
TI - Closure Theorem for Partially Semialgebraic Sets
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2007
VL - 55
IS - 4
SP - 325
EP - 331
AB - In 1988 it was proved by the first author that the closure of a partially semialgebraic set is partially semialgebraic. The essential tool used in that proof was the regular separation property. Here we give another proof without using this tool, based on the semianalytic L-cone theorem (Theorem 2), a semianalytic analog of the Cartan-Remmert-Stein lemma with parameters.
LA - eng
KW - semianalytic sets; closure theorem
UR - http://eudml.org/doc/281311
ER -