Collapsing along monotone poset maps
| dc.creator | Kozlov, Dmitry N. | |
| dc.date | 2005-03-21 | |
| dc.date | 2006-02-17 | |
| dc.date.accessioned | 2026-07-07T06:39:37Z | |
| dc.date.available | 2026-07-07T06:39:37Z | |
| dc.description | We introduce the notion of nonevasive reduction, and show that for any monotone poset map $ϕ:P\to P$, the simplicial complex $Δ(P)$ {\tt NE}-reduces to $Δ(Q)$, for any $Q\supseteq{\text{\rm Fix}}ϕ$. As a corollary, we prove that for any order-preserving map $ϕ:P\to P$ satisfying $ϕ(x)\geq x$, for any $x\in P$, the simplicial complex $Δ(P)$ collapses to $Δ(ϕ(P))$. We also obtain a generalization of Crapo's closure theorem. | |
| dc.description | To appear in the International Journal of Mathematics and Mathematical Sciences | |
| dc.identifier | https://arxiv.org/abs/math/0503416 | |
| dc.identifier | http://arxiv.org/abs/math/0503416 | |
| dc.identifier | International Journal of Mathematics and Mathematical Sciences, Volume 2006, (2006). | |
| dc.identifier | doi:10.1155/IJMMS/2006/79858 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/101146 | |
| dc.subject | Combinatorics | |
| dc.subject | Algebraic Topology | |
| dc.subject | 57C05; 06A06,57C10 | |
| dc.title | Collapsing along monotone poset maps | |
| dc.type | text |