Collapsing along monotone poset maps

Details Collapsing along monotone poset maps Collapsing along monotone poset maps

2005-03-21

arxiv.org/abs/math/0503416v3

International Journal of Mathematics and Mathematical Sciences, Volume 2006, (2006).

Mathematics

Combinatorics

To appear in the International Journal of Mathematics and Mathematical Sciences

Scientific paper

10.1155/IJMMS/2006/79858

We introduce the notion of nonevasive reduction, and show that for any monotone poset map $\phi:P\to P$, the simplicial complex $\Delta(P)$ {\tt NE}-reduces to $\Delta(Q)$, for any $Q\supseteq{\text{\rm Fix}}\phi$. As a corollary, we prove that for any order-preserving map $\phi:P\to P$ satisfying $\phi(x)\geq x$, for any $x\in P$, the simplicial complex $\Delta(P)$ collapses to $\Delta(\phi(P))$. We also obtain a generalization of Crapo's closure theorem.

Affiliated with

Also associated with

No associations

Rating

Collapsing along monotone poset maps does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Collapsing along monotone poset maps, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Collapsing along monotone poset maps will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-160231