Atomic maps and the Chogoshvili-Pontrjagin claim. (English) Zbl 0902.54027
T. Dobrowolski, M. Levin and L. R. Rubin, Topology Appl. 80, No. 1-2, 81-90 (1997; Zbl 0889.54025)] proved that every two-dimensional ANR obeys the well-known Chogoshvili-Pontryagin claim. In the present paper the authors prove that to the contrary, no space of dimension \(\geq 3\) obeys this claim. Their argument rests heavily on the theory of atomic maps. The exposition is excellent and this paper is a real pleasure to read.
Reviewer: Dušan Repovš (Ljubljana)
MSC:
| 54F45 | Dimension theory in general topology |
Citations:
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