Formal concept analysis of one-dimensional continuum structures

• Autores: Rudolf Wille
• Localización: Algebra universalis, ISSN 0002-5240, Vol. 59, Nº. 1-2, 2008, págs. 197-208
• Idioma: inglés
• DOI: 10.1007/s00012-008-2104-y
• Texto completo no disponible (Saber más ...)
• Resumen

  • This paper offers an approach of developing an order-theoretic structure theory of one-dimensional continuum structures. The chosen approach is based on continua and their subcontinua as primitive notions. In a first step, linear and circular continuum structures are defined as ordered sets and concretized by a real number model. In a second step �points� are deduced as limits of continua by methods of Formal Concept Analysis. The continuum structures extended by those points are analysed and represented by an enlarged real number model. Further research is planned to extend the approach of this paper to higher dimensional continuum structures.