%0 Journal Article
%T Topological semigroups and universal spaces related to extension dimension
%A A. Chigogidze
%A A. Karasev
%A M. Zarichnyi
%J Mathematics
%D 2001
%I arXiv
%X It is proved that there is no structure of left (right) cancelative semigroup on $[L]$-dimensional universal space for the class of separable compact spaces of extensional dimension $\le [L]$. Besides, we note that the homeomorphism group of $[L]$-dimensional space whose nonempty open sets are universal for the class of separable compact spaces of extensional dimension $\le [L]$ is totally disconnected.
%U http://arxiv.org/abs/math/0109106v1