Homeomorphism Groups and the Topologist's Sine Curve

Jan J. Dijkstra; Rachid Tahri

Bulletin of the Polish Academy of Sciences. Mathematics (2010)

  • Volume: 58, Issue: 3, page 269-272
  • ISSN: 0239-7269

Abstract

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It is shown that deleting a point from the topologist's sine curve results in a locally compact connected space whose autohomeomorphism group is not a topological group when equipped with the compact-open topology.

How to cite

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Jan J. Dijkstra, and Rachid Tahri. "Homeomorphism Groups and the Topologist's Sine Curve." Bulletin of the Polish Academy of Sciences. Mathematics 58.3 (2010): 269-272. <http://eudml.org/doc/281203>.

@article{JanJ2010,
abstract = {It is shown that deleting a point from the topologist's sine curve results in a locally compact connected space whose autohomeomorphism group is not a topological group when equipped with the compact-open topology.},
author = {Jan J. Dijkstra, Rachid Tahri},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
language = {eng},
number = {3},
pages = {269-272},
title = {Homeomorphism Groups and the Topologist's Sine Curve},
url = {http://eudml.org/doc/281203},
volume = {58},
year = {2010},
}

TY - JOUR
AU - Jan J. Dijkstra
AU - Rachid Tahri
TI - Homeomorphism Groups and the Topologist's Sine Curve
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2010
VL - 58
IS - 3
SP - 269
EP - 272
AB - It is shown that deleting a point from the topologist's sine curve results in a locally compact connected space whose autohomeomorphism group is not a topological group when equipped with the compact-open topology.
LA - eng
UR - http://eudml.org/doc/281203
ER -

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