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We study homology groups of the space W̃1(∇ ) of triangulations of the twodimensional simplex with vertices D0D1D2 endowed with a boundary subdivision with not more than 6 vertices in case when this boundary subdivision is extended to the interior of the simplex without adding new interior vertices. As a result, we obtain a theorem about the homology groups Hn in cases n = 0, . . . , 5. The article is published in the author’s wording.

On Homology Groups of a Subspace of Triangulations of the Two-Simplex with not More than 6 Subdivisional Boundary Vertices