Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/4148| Title: | On the continuity of functions |
| Author: | Almeida, R |
| Keywords: | Nonstandard Analysis Convex functions Continuity Compact Set Convex Set |
| Issue Date: | 2007 |
| Publisher: | Balkan Society of Geometers |
| Abstract: | Some theorems on continuity are presented. First we will prove that every convex function f :Rn -> R is continuous using nonstandard analysis methods. Then we prove that if the image of every compact (resp. convex) is compact (resp. convex), then the function is continuous. |
| Peer review: | yes |
| URI: | http://hdl.handle.net/10773/4148 |
| ISSN: | 1454-5101 |
| Appears in Collections: | DMat - Artigos |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| continuity_convexmap.pdf | 96.56 kB | Adobe PDF | View/Open |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.