Generalized inverse limits

• Autores: Antonio Peláez
• Localización: Houston journal of mathematics, ISSN 0362-1588, Vol. 32, Nº 4, 2006, págs. 1107-1119
• Idioma: inglés
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• Resumen

  • Recently, Professor W. Mahavier defined an inverse limit of a sequence of closed subsets of the unit square. We use that definition to construct, for a given positive integer m, an inverse limit of a sequence of closed subsets of the unit square having dimension equal to m. We extend Professor Mahavier's definition and define an inverse sequence of closed subsets and its generalized inverse limit. In this case, the closed sets are not necessarily contained in the unit square. We also extend some results obtained by Professor Mahavier in his paper "Inverse limits with subsets of [0,1]× [0,1], Topology and Its Applications, 141(2004), 225-231" and we give a condition to induce maps between those new spaces.