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Minimal function on 3-manifolds with boundary
Journal: Journal “Proceedings of the International Geometry Center” (Vol.8, No. 3)Publication Date: 2015-09-01
Authors : N.V. Lukova-Chuiko;
Page : 46-53
Keywords : Minimal function; topological equivalence; 3-manifolds; classi cation;
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Abstract
We construct the complete topological invariant of minimal functions on the three-dimensional manifolds and proved the theorem about the implementation of this invariant feature. Thus, it is received the minimal topological classi cation of functions. E ciency of constructed invariants is demonstrated by examples. We describe all the functions, the complexity of which does not exceed three.
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