Poreda, W.; Wagner-Bojakowska, E.; Wilczyński, W. Remarks on I-density and I-approximately continuous functions. (English) Zbl 0587.54056 Commentat. Math. Univ. Carol. 26, 553-563 (1985). Starting with some definitions and results on I-density point, I-topology on the real line, \((\tau_ I)\), and I-approximately continuous functions, introduced by the authors themselves [A category analogue of the density topology, Fundam. Math. (to appear)], this note deals with other aspects concerning the I-density, (corollary 1), I-dispersion point, (theorem 1, lemmas 2 and 3), the family of \(\tau_ I\)-Borel sets, (theorem 3), \(\tau_ I\)-nowhere dense sets, (theorem 4), and I- approximately continuous functions, (theorem 5 and 7). Of course, the present note is a useful continuation of the authors’ work (loc. cit). Reviewer: O.Costinescu Cited in 3 ReviewsCited in 8 Documents MSC: 54H05 Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) 26A99 Functions of one variable Keywords:density point; approximately continuous functions; dispersion point PDFBibTeX XMLCite \textit{W. Poreda} et al., Commentat. Math. Univ. Carol. 26, 553--563 (1985; Zbl 0587.54056) Full Text: EuDML