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.
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Additional information
State Navigation Academy, Kirovograd. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 51, No. 10, pp. 1431–1432, October, 1999.
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Bondar’, O.P. Bott functions and the euler characteristic. Ukr Math J 51, 1615–1616 (1999). https://doi.org/10.1007/BF02981694
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DOI: https://doi.org/10.1007/BF02981694