Absorbing sets for countable-dimensional spaces

T. Radul

1. M. Bestvina, J. Mogilski Characterizing certain incomplete infinite-dimensional absolute retracts // Michigan Math. J. – 1986 V. 33 p. 291–313

2. T. Dobrowolski, J. Mogilski Problems on topological classification of incomplete metric spaces Open problems in topology J. van Mill and G.M. Reed ,addr North-Holland – 1990

3. R. Engelking, E. Pol Countable-dimensional spaces: a survey // Diss.Math. – 1983 V. 216 p. 1–45

4. W. Hurewicz Ueber unendlich-dimensionale Punktmengen // Proc.Acad.Amsterd.– 1928 V. 31 p. 916–922

5. J. Nagata On the countable sum of zero-dimensional metric spaces // Fund.Math. – 1960 V. 48

6. R. Pol Countable dimensional universal set // Trans.Amer.Math.Soc. – 1986 V.297 p. 255–268

7. R. Sikorski Some examples of Borel sets // Colloq. Math. – 1958 V. 5 p. 170–171

8. H. Toru\'nczyk Concerning locally homotopy negligible sets and characterization of $l_2$-manifolds // Fund. Math. -- 1978 V. 101 p. 93-110

9. M.M. Zarichnyi Universal maps and absorbing sets in the classes of countable-dimensionale spaces // Preprint,–1994

10. J. Mogilski Universal finite-to-one map and universal countable dimensional spaces // Preprint,–1994

	Absorbing sets for countable-dimensional spaces
Author	T. Radul Lviv State University, Department of Mathematic 290602 Lviv, Universytetska st.,1
Abstract	Absorbing sets for absolute Borel classes of countable-dimensional spaces are constructed.
Keywords	absorbing sets, absolute Borel classes, countable-dimensional spaces
DOI	doi:10.30970/ms.4.1.105-110
Reference	1. M. Bestvina, J. Mogilski Characterizing certain incomplete infinite-dimensional absolute retracts // Michigan Math. J. – 1986 V. 33 p. 291–313 2. T. Dobrowolski, J. Mogilski Problems on topological classification of incomplete metric spaces Open problems in topology J. van Mill and G.M. Reed ,addr North-Holland – 1990 3. R. Engelking, E. Pol Countable-dimensional spaces: a survey // Diss.Math. – 1983 V. 216 p. 1–45 4. W. Hurewicz Ueber unendlich-dimensionale Punktmengen // Proc.Acad.Amsterd.– 1928 V. 31 p. 916–922 5. J. Nagata On the countable sum of zero-dimensional metric spaces // Fund.Math. – 1960 V. 48 6. R. Pol Countable dimensional universal set // Trans.Amer.Math.Soc. – 1986 V.297 p. 255–268 7. R. Sikorski Some examples of Borel sets // Colloq. Math. – 1958 V. 5 p. 170–171 8. H. Toru\'nczyk Concerning locally homotopy negligible sets and characterization of $l_2$-manifolds // Fund. Math. -- 1978 V. 101 p. 93-110 9. M.M. Zarichnyi Universal maps and absorbing sets in the classes of countable-dimensionale spaces // Preprint,–1994 10. J. Mogilski Universal finite-to-one map and universal countable dimensional spaces // Preprint,–1994
Pages	105-110
Volume	4
Issue	1
Year	1995
Journal	Matematychni Studii
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