2019
Том 71
№ 11

# Repovš D.

Articles: 2
Article (English)

### $S^1$-bott functions on manifolds

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.

Article (English)

### On the asymptotic extension dimension

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.