Geodesic
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.

Voir la notice de l'article provenant de la source Math-Net.Ru

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 
@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/

[1] S. I. Yablokova, “Triangulyatsii dvumernogo simpleksa, vse vershyny kotoryh lezhat na ego granitse”, Voprosy teorii grupp i gomologicheskoy algebry, Yaroslavl, 1994, 69–88

[2] S. I. Yablokova, “Gruppy gomology nekotoryh prostranstv triangulyasty”, Matematika v Yaroslavskom Universitete, Yaroslavl, 2011, 207–217