Abstract: | In terms of the Euler characteristic, we obtain the condition of existence of Bott functions on differentiable manifolds that have a set of critical points formed by connected homeomorphic submanifolds. State Navigation Academy, Kirovograd. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 51, No. 10, pp. 1431–1432, October, 1999. |