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A general homotopy complementation formula

✍ Scribed by Anders Björner

Book ID
104114152
Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
275 KB
Volume
193
Category
Article
ISSN
0012-365X

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✦ Synopsis

The homotopy type of a lattice is described in terms of the intervals [0,x], [x,y] and [y, ]] determined by complements x ~< y to a fixed element. (~

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Combinatorics of Topological Posets: Hom
Combinatorics of Topological Posets: Homotopy Complementation Formulas
✍ 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