Absorbing spaces in Hartman-Mycielski construction

T.M.Radul

Absorbing spaces $D_\beta$ related to $C$-compacta were constructed in [5]. We obtain these spaces as Hartman-Mycielski constructions of some compacta.

1. Borst P. Some remarks concerning $C$-spaces// Topology and Appl. --- 2007. --- V.154. --- P.665--674.

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

3. Dobrowolski T., Mogilski J. Problems on topological classification of incomplete metric spaces. In book:\ Open problems in topology, eds. J. van Mill and G.M. Reed. --- North-Holland, 1990.

4. Dobrowolski T., Mogilski J. Absorbing sets in the Hilbert cube related to transfinite dimension// Bull. of the Polish Acad. of sci. --- 1990. --- V.38. P.185--188.

5. Radul T. Absorbing spaces for C-compacta// Topology and Appl. --- 1998. --- V.83. --- P.127--133.

6. Banakh T., Radul T. and Zarichnyi M. Absorbing Sets in Infinite-Dimensional Manifolds. --- VNTL:\ Lviv, 1996.

7. Bessaga C., Pe czy\'nski A. Selected topics in infinite-dimensional topology. --- PWN:\ Warsaw, 1975.

8. Hartman S., Mycielski J. On the embedding of topological groups into connected topological groups// Colloq. Math. --- V.5. --- 1958. --- P.167--169.

9. Telejko A. On the Hartman-Mycielski construction/ preprint.

10. Basmanov V.N. Covariant functors, retracts and dimension// Dokl.Akad.Nauk USSR. --- 1983. --- V.5. --- P.1033--1036 (in Russian).

11. Engelking R. Dimension theory.Finite and infinite. --- Heldermann Verlag, 1995.

	Absorbing spaces in Hartman-Mycielski construction
Author	T.M.Radul tarasradul@yahoo.co.uk Ivan Franko National University of Lviv
Abstract	Absorbing spaces $D_\beta$ related to $C$-compacta were constructed in [5]. We obtain these spaces as Hartman-Mycielski constructions of some compacta.
Keywords	absorbing space, Hartman-Mycielski construction, C-compacta
DOI	doi:10.30970/ms.29.2.221-224
Reference	1. Borst P. Some remarks concerning $C$-spaces// Topology and Appl. --- 2007. --- V.154. --- P.665--674. 2. Bestvina M., Mogilski J. Characterizing certain incomplete infinite-dimensional absolute retracts// Michigan Math. J. --- 1986. --- V.33. --- P.291--313. 3. Dobrowolski T., Mogilski J. Problems on topological classification of incomplete metric spaces. In book:\ Open problems in topology, eds. J. van Mill and G.M. Reed. --- North-Holland, 1990. 4. Dobrowolski T., Mogilski J. Absorbing sets in the Hilbert cube related to transfinite dimension// Bull. of the Polish Acad. of sci. --- 1990. --- V.38. P.185--188. 5. Radul T. Absorbing spaces for C-compacta// Topology and Appl. --- 1998. --- V.83. --- P.127--133. 6. Banakh T., Radul T. and Zarichnyi M. Absorbing Sets in Infinite-Dimensional Manifolds. --- VNTL:\ Lviv, 1996. 7. Bessaga C., Pe czy\'nski A. Selected topics in infinite-dimensional topology. --- PWN:\ Warsaw, 1975. 8. Hartman S., Mycielski J. On the embedding of topological groups into connected topological groups// Colloq. Math. --- V.5. --- 1958. --- P.167--169. 9. Telejko A. On the Hartman-Mycielski construction/ preprint. 10. Basmanov V.N. Covariant functors, retracts and dimension// Dokl.Akad.Nauk USSR. --- 1983. --- V.5. --- P.1033--1036 (in Russian). 11. Engelking R. Dimension theory.Finite and infinite. --- Heldermann Verlag, 1995.
Pages	221-224
Volume	29
Issue	2
Year	2008
Journal	Matematychni Studii
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