Projects / Programmes
| Code |
Science |
Field |
Subfield |
| 1.01.01 |
Natural sciences and mathematics |
Mathematics |
Analysis |
| Code |
Science |
Field |
| P001 |
Natural sciences and mathematics |
Mathematics |
Stein space, analytic set, proper map, holomorphic map, holomorphic immersion, holomorphic embedding, rank, holomorphically convex set, homotopy principle
Researchers (1)
| no. |
Code |
Name and surname |
Research area |
Role |
Period |
No. of publicationsNo. of publications |
| 1. |
20821 |
PhD Jasna Prezelj |
Mathematics |
Head |
2004 - 2005 |
0 |
Organisations (1)
Abstract
Our intention is to work on extensions of holomorphic maps from a closed subspace of a Stein space X which preserve the properties of the initial maps. It is known that these problems are ameanable to a solution provided the dimension of the target space is large enough. Some of these problems, however, have a solution for a large class of maps even if the dimension of target space is much smaller. Therefore we would like to find out when and by how much can the dimension of the target space be reduced. The second problem we are interested in is the h-principle for submersions. The application of this method has already yielded good results.The potential application of the h-principle to complex analysis has not yet been fully explored. The results known so far indicate that the method is rather promising.
