A Polish AR-Space with no nontrivial isotopy

• Autorzy: Dobrowolski T.
• Języki publikacji: EN

Abstrakty

EN

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

Słowa kluczowe

EN

isotopy; countable dense homogeneous; Polish space; transitive action

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2008
• Tom: Vol. 56, no 1
• Strony: 67--74
• Opis fizyczny: Bibliogr. 7 poz.

Twórcy

autor

Dobrowolski T.

• Department of Mathematics, Pittsburg State University, Pittsburg, KS 66762, U.S.A.,

Bibliografia

• [ACvM] R. D. Anderson, D. W. Curtis, and J. van Mill, A fake topological Hilbert space, Trans. Amer. Math. Soc. 272 (1982), 311-321.
• [B] R. Bennett, Countable dense homogeneous spaces, Fund. Math. 74 (1972), 189-194.
• [E] E. G. Effros, Transformation groups and C*-algebras, Ann. of Math. 81 (1965), 38-55.
• [vM1] J. van Mill, On countable dense and strong local homogeneity, Bull. Polish Acad. Sci. Math. 53 (2005), 401-408.
• [vM2] -, Homogeneous spaces and transitive actions by Polish groups, Israel J. Math., to appear.
• [vM3] -, A countable dense homogeneous space with a dense rigid open subspace, Fund. Math. 200 (2008), to appear.
• [To] H. Toruńczyk, Concerning locally homotopy negligible sets and characterization of ℓ2-manifolds, ibid. 101 (1978), 93-110.