On Homology Groups of a Subspace of Triangulations of the Two-Simplex with not More than 6 Subdivisional Boundary Vertices
Modelirovanie i analiz informacionnyh sistem, Tome 20 (2013) no. 6, pp. 142-148
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We study homology groups of the space $\tilde W_1(\nabla^N)$ of triangulations of the two-dimensional simplex with vertices $D_0D_1D_2$ 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 $H_n$ in cases $n=0, \dots, 5$.
The article is published in the author's wording.
Keywords:
homology group.
Mots-clés : triangulation, simplex
Mots-clés : triangulation, simplex
@article{MAIS_2013_20_6_a12,
author = {S. I. Yablokova},
title = {On {Homology} {Groups} of a {Subspace} of {Triangulations} of the {Two-Simplex} with not {More} than 6 {Subdivisional} {Boundary} {Vertices}},
journal = {Modelirovanie i analiz informacionnyh sistem},
pages = {142--148},
publisher = {mathdoc},
volume = {20},
number = {6},
year = {2013},
language = {en},
url = {http://geodesic.mathdoc.fr/item/MAIS_2013_20_6_a12/}
}
TY - JOUR AU - S. I. Yablokova TI - On Homology Groups of a Subspace of Triangulations of the Two-Simplex with not More than 6 Subdivisional Boundary Vertices JO - Modelirovanie i analiz informacionnyh sistem PY - 2013 SP - 142 EP - 148 VL - 20 IS - 6 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/MAIS_2013_20_6_a12/ LA - en ID - MAIS_2013_20_6_a12 ER -
%0 Journal Article %A S. I. Yablokova %T On Homology Groups of a Subspace of Triangulations of the Two-Simplex with not More than 6 Subdivisional Boundary Vertices %J Modelirovanie i analiz informacionnyh sistem %D 2013 %P 142-148 %V 20 %N 6 %I mathdoc %U http://geodesic.mathdoc.fr/item/MAIS_2013_20_6_a12/ %G en %F MAIS_2013_20_6_a12
S. I. Yablokova. On Homology Groups of a Subspace of Triangulations of the Two-Simplex with not More than 6 Subdivisional Boundary Vertices. Modelirovanie i analiz informacionnyh sistem, Tome 20 (2013) no. 6, pp. 142-148. http://geodesic.mathdoc.fr/item/MAIS_2013_20_6_a12/