Some questions of Arhangel'skii on rotoids

Harold Bennett, Dennis Burke, and David Lutzer. "Some questions of Arhangel'skii on rotoids." Fundamenta Mathematicae 216.2 (2012): 147-161. <http://eudml.org/doc/286422>.

@article{HaroldBennett2012,
abstract = {A rotoid is a space X with a special point e ∈ X and a homeomorphism F: X² → X² having F(x,x) = (x,e) and F(e,x) = (e,x) for every x ∈ X. If any point of X can be used as the point e, then X is called a strong rotoid. We study some general properties of rotoids and prove that the Sorgenfrey line is a strong rotoid, thereby answering several questions posed by A. V. Arhangel'skii, and we pose further questions.},
author = {Harold Bennett, Dennis Burke, David Lutzer},
journal = {Fundamenta Mathematicae},
keywords = {rotoid; Sorgenfrey line; rectifiable space},
language = {eng},
number = {2},
pages = {147-161},
title = {Some questions of Arhangel'skii on rotoids},
url = {http://eudml.org/doc/286422},
volume = {216},
year = {2012},
}

TY - JOUR
AU - Harold Bennett
AU - Dennis Burke
AU - David Lutzer
TI - Some questions of Arhangel'skii on rotoids
JO - Fundamenta Mathematicae
PY - 2012
VL - 216
IS - 2
SP - 147
EP - 161
AB - A rotoid is a space X with a special point e ∈ X and a homeomorphism F: X² → X² having F(x,x) = (x,e) and F(e,x) = (e,x) for every x ∈ X. If any point of X can be used as the point e, then X is called a strong rotoid. We study some general properties of rotoids and prove that the Sorgenfrey line is a strong rotoid, thereby answering several questions posed by A. V. Arhangel'skii, and we pose further questions.
LA - eng
KW - rotoid; Sorgenfrey line; rectifiable space
UR - http://eudml.org/doc/286422
ER -