Geodesic
Topology of complements of skeletons
Rowan Rowlands1
1University of Washington
The electronic journal of combinatorics, Tome 31 (2024) no. 1
Cet article a éte moissonné depuis la source The Electronic Journal of Combinatorics website

Voir la notice de l'article

Given a polytopal complex $X$, we examine the topological complement of its $k$-skeleton. We construct a long exact sequence relating the homologies of the skeleton complements and links of faces in $X$, and using this long exact sequence, we obtain characterisations of Cohen--Macaulay and Leray complexes, stacked balls, and neighbourly spheres in terms of their skeleton complements. We also apply these results to CAT(0) cubical complexes, and find new similarities between such a complex and an associated simplicial complex, the crossing complex.
DOI : 10.37236/11748
Classification : 57Q05, 05E45, 52B05

Rowan Rowlands  1

1 University of Washington 
@article{10_37236_11748,
     author = {Rowan Rowlands},
     title = {Topology of complements of skeletons},
     journal = {The electronic journal of combinatorics},
     year = {2024},
     volume = {31},
     number = {1},
     doi = {10.37236/11748},
     zbl = {1539.57024},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/11748/}
}
TY  - JOUR
AU  - Rowan Rowlands
TI  - Topology of complements of skeletons
JO  - The electronic journal of combinatorics
PY  - 2024
VL  - 31
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.37236/11748/
DO  - 10.37236/11748
ID  - 10_37236_11748
ER  - 
%0 Journal Article
%A Rowan Rowlands
%T Topology of complements of skeletons
%J The electronic journal of combinatorics
%D 2024
%V 31
%N 1
%U http://geodesic.mathdoc.fr/articles/10.37236/11748/
%R 10.37236/11748
%F 10_37236_11748
Rowan Rowlands. Topology of complements of skeletons. The electronic journal of combinatorics, Tome 31 (2024) no. 1. doi: 10.37236/11748

Cité par Sources :