𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Homotopy type of posets and lattice complementation

✍ Scribed by Anders Björner


Publisher
Elsevier Science
Year
1981
Tongue
English
Weight
627 KB
Volume
30
Category
Article
ISSN
0097-3165

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Combinatorics of Topological Posets: Hom
✍ Rade T. Živaljević 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 313 KB

We show that the well-known homotopy complementation formula of Bjorner and ẅ Ž . x Walker European J. Combin. 4 1983 , 11᎐19 admits several closely related Ž . generalizations on different classes of topological posets lattices . The utility of this technique is demonstrated on some classes of topo

A note on the homotopy type of posets
✍ P. Sankaran; K. Varadarajan 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 646 KB

For any poset P let J(P) denote the complete lattice of order ideals in P. J(P) is a contravariant functor in P. Any order-reversing map f: P-+Q can be regarded as an isotone (= order-preserving) map of either P\* into Q or P into Q\*. The induced map of J(Q) to J(P\*) (resp. J(Q\*) into J(P)) will

Yang–Baxter Type Equations and Posets of
✍ Ruth Lawrence 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 538 KB

This paper addresses the problem of constructing higher dimensional versions of the Yang Baxter equation from a purely combinatorial perspective. The usual Yang Baxter equation may be viewed as the commutativity constraint on the two-dimensional faces of a permutahedron, a polyhedron which is relate