A Polish AR-Space with no Nontrivial Isotopy

Volume 56 / 2008

Tadeusz Dobrowolski Bulletin Polish Acad. Sci. Math. 56 (2008), 67-74 MSC: 57N37, 57S05, 54H15, 22F30. DOI: 10.4064/ba56-1-8


The Polish space $Y$ constructed in [vM1] admits no nontrivial isotopy. Yet, there exists a Polish group that acts transitively on $Y$.


  • Tadeusz DobrowolskiDepartment of Mathematics
    Pittsburg State University
    Pittsburg, KS 66762, U.S.A.
    Faculty of Mathematics and Natural Sciences
    Cardinal Stefan Wyszyński University
    Dewajtis 5, 01-815 Warszawa, Poland

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