Notes on Retracts of Coset Spaces

J. van Mill, and G. J. Ridderbos. "Notes on Retracts of Coset Spaces." Bulletin of the Polish Academy of Sciences. Mathematics 53.2 (2005): 169-179. <http://eudml.org/doc/280518>.

@article{J2005,
abstract = {We study retracts of coset spaces. We prove that in certain spaces the set of points that are contained in a component of dimension less than or equal to n, is a closed set. Using our techniques we are able to provide new examples of homogeneous spaces that are not coset spaces. We provide an example of a compact homogeneous space which is not a coset space. We further provide an example of a compact metrizable space which is a retract of a homogeneous compact space, but which is not a retract of a homogeneous metrizable compact space.},
author = {J. van Mill, G. J. Ridderbos},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {coset space; retraction; homogeneous space; dimension},
language = {eng},
number = {2},
pages = {169-179},
title = {Notes on Retracts of Coset Spaces},
url = {http://eudml.org/doc/280518},
volume = {53},
year = {2005},
}

TY - JOUR
AU - J. van Mill
AU - G. J. Ridderbos
TI - Notes on Retracts of Coset Spaces
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2005
VL - 53
IS - 2
SP - 169
EP - 179
AB - We study retracts of coset spaces. We prove that in certain spaces the set of points that are contained in a component of dimension less than or equal to n, is a closed set. Using our techniques we are able to provide new examples of homogeneous spaces that are not coset spaces. We provide an example of a compact homogeneous space which is not a coset space. We further provide an example of a compact metrizable space which is a retract of a homogeneous compact space, but which is not a retract of a homogeneous metrizable compact space.
LA - eng
KW - coset space; retraction; homogeneous space; dimension
UR - http://eudml.org/doc/280518
ER -