dc.contributor |
Centre de Recerca Matemàtica |
dc.contributor.author |
Daniilidis, Aris |
dc.contributor.author |
Jeffrey Pang, C.H. |
dc.date.accessioned |
2009-07-17T07:04:15Z |
dc.date.available |
2009-07-17T07:04:15Z |
dc.date.created |
2009-05 |
dc.date.issued |
2009-05 |
dc.identifier.uri |
http://hdl.handle.net/2072/39458 |
dc.format.extent |
25 |
dc.format.extent |
203313 bytes |
dc.format.mimetype |
application/pdf |
dc.language.iso |
eng |
dc.publisher |
Centre de Recerca Matemàtica |
dc.relation.ispartofseries |
Prepublicacions del Centre de Recerca Matemàtica;856 |
dc.rights |
Aquest document està subjecte a una llicència d'ús de Creative Commons, amb la qual es permet copiar, distribuir i comunicar públicament l'obra sempre que se'n citin l'autor original, la universitat i el centre i no se'n faci cap ús comercial ni obra derivada, tal com queda estipulat en la llicència d'ús (http://creativecommons.org/licenses/by-nc-nd/2.5/es/) |
dc.subject.other |
Políedres |
dc.subject.other |
Àlgebra |
dc.subject.other |
Optimització |
dc.subject.other |
Continuïtat (Matemàtica) |
dc.title |
Continuity of set-valued maps revisited in the light of tame geometry |
dc.type |
info:eu-repo/semantics/preprint |
dc.subject.udc |
512 - Àlgebra |
dc.description.abstract |
Continuity of set-valued maps is hereby revisited: after recalling some basic concepts of variational analysis and a short description of the State-of-the-Art, we obtain as by-product two Sard type results concerning local minima of scalar and vector valued functions. Our main result though, is inscribed in the framework of tame geometry, stating that a closed-valued semialgebraic set-valued map is almost everywhere continuous (in both topological and measure-theoretic sense).
The result –depending on stratification techniques– holds true in a more general setting of o-minimal (or tame) set-valued maps. Some applications are briefly discussed at the end. |