Collapsing along monotone poset maps

We introduce the notion of nonevasive reduction and show that for any monotone poset map ϕ:P→P, the simplicial complex Δ(P) NE-reduces to Δ(Q), for any Q⊇Fixϕ.

Bibliographic Details
Main Author: Dmitry N. Kozlov
Format: Article
Language:English
Published: Hindawi Limited 2006-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/IJMMS/2006/79858