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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.
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 -