Group Structures and Rectifiability in Powers of Spaces

G. J. Ridderbos. "Group Structures and Rectifiability in Powers of Spaces." Bulletin of the Polish Academy of Sciences. Mathematics 55.4 (2007): 357-363. <http://eudml.org/doc/281186>.

@article{G2007,
abstract = {We prove that if some power of a space X is rectifiable, then $X^\{πw(X)\}$ is rectifiable. It follows that no power of the Sorgenfrey line is a topological group and this answers a question of Arhangel’skiĭ. We also show that in Mal’tsev spaces of point-countable type, character and π-character coincide.},
author = {G. J. Ridderbos},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {factor-space of a topological group; left uniformity; right uniformity; symmetric groups.},
language = {eng},
number = {4},
pages = {357-363},
title = {Group Structures and Rectifiability in Powers of Spaces},
url = {http://eudml.org/doc/281186},
volume = {55},
year = {2007},
}

TY - JOUR
AU - G. J. Ridderbos
TI - Group Structures and Rectifiability in Powers of Spaces
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2007
VL - 55
IS - 4
SP - 357
EP - 363
AB - We prove that if some power of a space X is rectifiable, then $X^{πw(X)}$ is rectifiable. It follows that no power of the Sorgenfrey line is a topological group and this answers a question of Arhangel’skiĭ. We also show that in Mal’tsev spaces of point-countable type, character and π-character coincide.
LA - eng
KW - factor-space of a topological group; left uniformity; right uniformity; symmetric groups.
UR - http://eudml.org/doc/281186
ER -