Sgall, Jiří; Witzany, Jiří Dimension of indiscernibility equivalences. (English) Zbl 0629.03034 Commentat. Math. Univ. Carol. 28, 537-547 (1987). The authors (students at present) give a new property describing the dimension for compact metrizable spaces. They prove their definition being equivalent with the covering dimension. This is defined in an essentially nonstandard way and is based on the possibility of refining the topology to a totally disconnected one in a certain special manner. Reviewer: K.Čuda MSC: 03E70 Nonclassical and second-order set theories 54F45 Dimension theory in general topology 03H05 Nonstandard models in mathematics Keywords:alternative set theory; indiscernibility equivalence; dimension; compact metrizable spaces PDF BibTeX XML Cite \textit{J. Sgall} and \textit{J. Witzany}, Commentat. Math. Univ. Carol. 28, 537--547 (1987; Zbl 0629.03034) Full Text: EuDML OpenURL