Topological compactifications

Benjamin Vejnar. "Topological compactifications." Fundamenta Mathematicae 213.3 (2011): 233-253. <http://eudml.org/doc/283044>.

@article{BenjaminVejnar2011,
abstract = {We study those compactifications of a space such that every autohomeomorphism of the space can be continuously extended over the compactification. These are called H-compactifications. Van Douwen proved that there are exactly three H-compactifications of the real line. We prove that there exist only two H-compactifications of Euclidean spaces of higher dimension. Next we show that there are 26 H-compactifications of a countable sum of real lines and 11 H-compactifications of a countable sum of Euclidean spaces of higher dimension. All H-compactifications of discrete and countable locally compact spaces are described.},
author = {Benjamin Vejnar},
journal = {Fundamenta Mathematicae},
keywords = {compactification; homeomorphism; Euclidean space},
language = {eng},
number = {3},
pages = {233-253},
title = {Topological compactifications},
url = {http://eudml.org/doc/283044},
volume = {213},
year = {2011},
}

TY - JOUR
AU - Benjamin Vejnar
TI - Topological compactifications
JO - Fundamenta Mathematicae
PY - 2011
VL - 213
IS - 3
SP - 233
EP - 253
AB - We study those compactifications of a space such that every autohomeomorphism of the space can be continuously extended over the compactification. These are called H-compactifications. Van Douwen proved that there are exactly three H-compactifications of the real line. We prove that there exist only two H-compactifications of Euclidean spaces of higher dimension. Next we show that there are 26 H-compactifications of a countable sum of real lines and 11 H-compactifications of a countable sum of Euclidean spaces of higher dimension. All H-compactifications of discrete and countable locally compact spaces are described.
LA - eng
KW - compactification; homeomorphism; Euclidean space
UR - http://eudml.org/doc/283044
ER -