𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A Characterization of 0-epi Maps with a Degree

✍ Scribed by Elena Giorgieri; Martin Väth

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
174 KB
Volume
187
Category
Article
ISSN
0022-1236

No coin nor oath required. For personal study only.

✦ Synopsis

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.

📜 SIMILAR VOLUMES

An Infinite Dimensional 0-epi Mapping wi
An Infinite Dimensional 0-epi Mapping with Degree Zero
✍ Zouhua Ding 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 135 KB

Let X be a real Banach space and let D ; X be an open and bounded set. A Ž . mapping T : D ª X with 0 f T Ѩ D is called 0-epi mapping on D if the equation Ž . Tx s g x is solvable in D for every compact continuous mapping g: D ª X which vanishes identically on Ѩ D. We show that there exists a mappin

On the Connection of Degree Theory and 0
On the Connection of Degree Theory and 0-epi Maps
✍ Martin Väth 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 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 degree theory for set-valued maps with
A degree theory for set-valued maps with proximally ∞-connected values
✍ Ralf Bader 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 700 KB

Set-valued maps, absolute neighbourhood retracts, proximally oo-connected sets, fixed point index theory, approximation on the graph, odd mappings, degree theory \*The results in the paper are contained in the author's Ph.D. dissertation under supervisor Prof. H. Steinlein at the University of Munic