Ukr. Mat. Zh. - 2012. - 64, № 12. - pp. 1685-1698
We study $S^1$$ -Bott functions on compact smooth manifolds. In particular, we investigate $S_1$-invariant Bott functions on manifolds with circle action.
Ukr. Mat. Zh. - 2010. - 62, № 11. - pp. 1523–1530
We introduce an asymptotic counterpart of the extension dimension defined by Dranishnikov. The main result establishes the relationship between the asymptotic extensional dimension of a proper metric space and the extension dimension of its Higson corona.