| Title:
|
Some results on projection of planar sets (English) |
| Author:
|
Ganguly, D. K. |
| Author:
|
Majumdar, M. |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
48 |
| Issue:
|
4 |
| Year:
|
1998 |
| Pages:
|
815-820 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper we define certain types of projections of planar sets and study some properties of such projections. (English) |
| Keyword:
|
Baire category |
| Keyword:
|
property of Baire |
| Keyword:
|
residual set |
| Keyword:
|
upper semicontinuity |
| Keyword:
|
Borel set |
| MSC:
|
26A15 |
| MSC:
|
26A21 |
| MSC:
|
28A05 |
| idZBL:
|
Zbl 0953.28001 |
| idMR:
|
MR1658206 |
| . |
| Date available:
|
2009-09-24T10:18:49Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127457 |
| . |
| Reference:
|
[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. MR 0828488, 10.2307/44151737 |
| Reference:
|
[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. |
| Reference:
|
[3] J. Ceder and D.K. Ganguly: On projections of big planar sets.Real Anal. Exch. 9 (1983–84), 206–214. MR 0742785, 10.2307/44153528 |
| Reference:
|
[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 |
| Reference:
|
[5] Casper Goffman: Real Functions, Rinehart and Co..New York, 1953, p. 140. MR 0054006 |
| Reference:
|
[6] T. Katkaniec: On category projections of cartesian product $A \times A$.Real Anal. Exch. 10 (1984–85), 233–234. |
| Reference:
|
[7] K. Kuratowski: Topology I.Academic Press, New York, 1966. MR 0217751 |
| Reference:
|
[8] J.C. Oxtoby: Measure and Category, Second Edition.Springer-Verlag, 1980. MR 0584443 |
| Reference:
|
[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 |
| Reference:
|
[10] H. Steinhaus: Sur l’es distances des points des ensembles de measure positive.Fund. Math. 1 (1920), 93–104. MR 0023009, 10.4064/fm-1-1-93-104 |
| . |
