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On a new relative invariant covering dimension

  • Autores: Dimitis N. Georgiou, A. C. Megaritis
  • Localización: Extracta mathematicae, ISSN-e 0213-8743, Vol. 25, Nº 3, 2010 (Ejemplar dedicado a: Proceedings of the Seventh Italian-Spanish Conference of General Topology and its Applications, Badajoz (Spain), September 7-10, 2010), págs. 263-275
  • Idioma: inglés
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  • Resumen
    • In [7] (see also [2, p. 35]) two relative covering dimensions, denoted by dim and dim  , defined and studied. In [3] and [4] we studied these dimensions and we gave some properties including subspace, sum, partition, compactification, and product theorems. Also, we gave partial answers for the questions which are given in [7]. Here we give and study a new relative covering dimension, denoted by r-dim, which is different from dim and dim.

      Finally, we give some questions concerning the new relative dimension r-dim.


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