Article
Keywords:
Baire category; property of Baire; residual set; upper semicontinuity; Borel set
Summary:
In this paper we define certain types of projections of planar sets and study some properties of such projections.
References:
[1] R. Anantharaman and J.P. Lee:
Planar sets whose complements do not contain a dense set of lines. Real Anal. Exch. 11 (1985–86), 168–178.
DOI 10.2307/44151737 |
MR 0828488
[2] N.C. Bose Majumder: On some properties of sets with positive measures. Annali Dell’ Univ. di Ferrara (N.S.) Sez VII–Sci. Mat. X (1962), no. 1, 1–12.
[4] D.K.Ganguly and S. Basu:
On some properties of sets with positive measure. Czechoslovak Math. Jour. 44(119) (1994), 405–411.
MR 1288161
[5] Casper Goffman:
Real Functions, Rinehart and Co. New York, 1953, p. 140.
MR 0054006
[6] T. Katkaniec: On category projections of cartesian product $A \times A$. Real Anal. Exch. 10 (1984–85), 233–234.
[7] K. Kuratowski:
Topology I. Academic Press, New York, 1966.
MR 0217751
[8] J.C. Oxtoby:
Measure and Category, Second Edition. Springer-Verlag, 1980.
MR 0584443
[9] K.C. Ray:
On some properties of ratio sets. Seminario mathematico dell Universita di Ferrara Ser VII (NS) 11 (1962–65), 45–49.
MR 0188366