Geodesic
A note on coverings of posets, $A$-spaces and polyhedra
Homology, homotopy, and applications, Tome 18 (2016) no. 1, pp. 143-150.

Voir la notice de l'article provenant de la source International Press of Boston

We show that there exists a correspondence between the equivalence classes of coverings of a polyhedron and the equivalence classes of coverings of its poset of simplices. The same is true for a poset and its order complex. The coverings of a poset can be understood in two equivalent ways, as categorical coverings, when the poset is viewed as a category, or as topological coverings, when it is viewed as an $A$-space. This implies that the theory of coverings of polyhedra can be handled completely in the combinatorial setting.
DOI : 10.4310/HHA.2016.v18.n1.a8
Classification : 06A07, 18B35, 55U10, 57M10
Keywords: covering map, simplicial complex, poset, $A$-space 
@article{HHA_2016_18_1_a7,
     author = {Jonathan Ariel Barmak and Elias Gabriel Minian},
     title = {A note on coverings of posets, $A$-spaces and polyhedra},
     journal = {Homology, homotopy, and applications},
     pages = {143--150},
     publisher = {mathdoc},
     volume = {18},
     number = {1},
     year = {2016},
     doi = {10.4310/HHA.2016.v18.n1.a8},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4310/HHA.2016.v18.n1.a8/}
}
TY  - JOUR
AU  - Jonathan Ariel Barmak
AU  - Elias Gabriel Minian
TI  - A note on coverings of posets, $A$-spaces and polyhedra
JO  - Homology, homotopy, and applications
PY  - 2016
SP  - 143
EP  - 150
VL  - 18
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4310/HHA.2016.v18.n1.a8/
DO  - 10.4310/HHA.2016.v18.n1.a8
LA  - en
ID  - HHA_2016_18_1_a7
ER  - 
%0 Journal Article
%A Jonathan Ariel Barmak
%A Elias Gabriel Minian
%T A note on coverings of posets, $A$-spaces and polyhedra
%J Homology, homotopy, and applications
%D 2016
%P 143-150
%V 18
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4310/HHA.2016.v18.n1.a8/
%R 10.4310/HHA.2016.v18.n1.a8
%G en
%F HHA_2016_18_1_a7
Jonathan Ariel Barmak; Elias Gabriel Minian. A note on coverings of posets, $A$-spaces and polyhedra. Homology, homotopy, and applications, Tome 18 (2016) no. 1, pp. 143-150. doi : 10.4310/HHA.2016.v18.n1.a8. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2016.v18.n1.a8/

Cité par Sources :