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0-Epi families of mappings, topological degree, and optimization

✍ Scribed by G. Isac


Publisher
Springer
Year
1984
Tongue
English
Weight
1008 KB
Volume
42
Category
Article
ISSN
0022-3239

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πŸ“œ SIMILAR VOLUMES


On the Connection of Degree Theory and 0
✍ Martin VΓ€th πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 121 KB

We show that in a large class of continuous operators on Jordan domains the 0-epi maps are precisely those maps with nonzero degree. The class contains in particular perturbations of the identity by countably 1/2-condensing operators. This implies that the example of Z.

A Characterization of 0-epi Maps with a
✍ Elena Giorgieri; Martin VΓ€th πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 174 KB

The paper was written in the framework of a DFG project (Az. AP 40-15/1). The main ideas were discussed while the second author was invited professor at the University of Rome ''Tor Vergata.'' Financial support by the DFG and the CNR is gratefully acknowledged.