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Topology of spaces of functions with prescribed singularities on the surfaces, Dokl · 2016

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First Betti numbers of orbits of Morse functions on surfaces

math.GR · 2019-08-08 · conditional · novelty 6.0

For any group in this class, the center and the abelianization are isomorphic to Z raised to the number of Z factors in any presentation, and this number is the first Betti number of the orbit.

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  • First Betti numbers of orbits of Morse functions on surfaces math.GR · 2019-08-08 · conditional · none · ref 7

    For any group in this class, the center and the abelianization are isomorphic to Z raised to the number of Z factors in any presentation, and this number is the first Betti number of the orbit.