5,525 research outputs found
Collapsing along monotone poset maps
We introduce the notion of nonevasive reduction, and show that for any
monotone poset map , the simplicial complex {\tt
NE}-reduces to , for any .
As a corollary, we prove that for any order-preserving map
satisfying , for any , the simplicial complex
collapses to . We also obtain a generalization of
Crapo's closure theorem.Comment: To appear in the International Journal of Mathematics and
Mathematical Science
- β¦