✦ LIBER ✦

Ordered sets: Retracts and connections

✍ Scribed by Henry Crapo

Publisher: Elsevier Science
Year: 1982
Tongue: English
Weight: 791 KB
Volume: 23
Category: Article
ISSN: 0022-4049
DOI: 10.1016/0022-4049(82)90074-3

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Retract extensions of ordered sets

✍ N. Kehayopulu; J. S. Ponizovskii; K. P. Shum 📂 Article 📅 2006 🏛 Springer US 🌐 English ⚖ 365 KB

Spanning retracts of a partially ordered

Spanning retracts of a partially ordered set

✍ D. Duffus; I. Rival; M. Simonovits 📂 Article 📅 1980 🏛 Elsevier Science 🌐 English ⚖ 639 KB

Two general kinds of subsets of a partially ordered set P are always retracts of P:: (1) every maximal chain of P is a retract; (2) in P, every isometric, spanning subset of length one with no crowns is a retract. It follows that in a partially ordered set P with the fixed point property, every maxi

Lipschitzian retracts and curves as inva

Lipschitzian retracts and curves as invariant sets

✍ László L. Stachó; László I. Szabó 📂 Article 📅 2008 🏛 Springer Netherlands 🌐 English ⚖ 132 KB

Galois Connections for Incidence Hopf Al

Galois Connections for Incidence Hopf Algebras of Partially Ordered Sets

✍ Marcelo Aguiar; Walter Ferrer Santos 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 277 KB

An important well-known result of Rota describes the relationship between the Mo bius functions of two posets related by a Galois connection. We present an analogous result relating the antipodes of the corresponding incidence Hopf algebras, from which the classical formula can be deduced. To motiva

Ordered sets, pagenumbers and planarity

✍ Richard Nowakowski; Andrew Parker 📂 Article 📅 1989 🏛 Springer Netherlands 🌐 English ⚖ 559 KB

Absolute retracts and a general fixed po

Absolute retracts and a general fixed point theorem for fuzzy sets

✍ Phil Diamond; Peter Kloeden; Aleksej Pokrovskii 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 235 KB

The space of fuzzy sets on a compact metric space, with the sendograph metric for fuzzy sets, is shown to have the fixed point property. The relationship between absolute retracts and spaces of fuzzy sets is demonstrated. @