On Countable Dense and Strong Local Homogeneity

Jan van Mill

Bulletin of the Polish Academy of Sciences. Mathematics (2005)

  • Volume: 53, Issue: 4, page 401-408
  • ISSN: 0239-7269

Abstract

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We present an example of a connected, Polish, countable dense homogeneous space X that is not strongly locally homogeneous. In fact, a nontrivial homeomorphism of X is the identity on no nonempty open subset of X.

How to cite

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Jan van Mill. "On Countable Dense and Strong Local Homogeneity." Bulletin of the Polish Academy of Sciences. Mathematics 53.4 (2005): 401-408. <http://eudml.org/doc/280830>.

@article{JanvanMill2005,
abstract = {We present an example of a connected, Polish, countable dense homogeneous space X that is not strongly locally homogeneous. In fact, a nontrivial homeomorphism of X is the identity on no nonempty open subset of X.},
author = {Jan van Mill},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {stongly locally homogeneous; countable dense homogeneous},
language = {eng},
number = {4},
pages = {401-408},
title = {On Countable Dense and Strong Local Homogeneity},
url = {http://eudml.org/doc/280830},
volume = {53},
year = {2005},
}

TY - JOUR
AU - Jan van Mill
TI - On Countable Dense and Strong Local Homogeneity
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2005
VL - 53
IS - 4
SP - 401
EP - 408
AB - We present an example of a connected, Polish, countable dense homogeneous space X that is not strongly locally homogeneous. In fact, a nontrivial homeomorphism of X is the identity on no nonempty open subset of X.
LA - eng
KW - stongly locally homogeneous; countable dense homogeneous
UR - http://eudml.org/doc/280830
ER -

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