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An Index for Set-Valued Maps in Infinite-Dimensional Spaces
| Content Provider | Scilit |
|---|---|
| Author | Williams, Stephen A. |
| Copyright Year | 1972 |
| Description | Previous fixed point indexes defined for a set-valued map in an infinite-dimensional space have required the values of this map to be convex sets. The corresponding assumption of this paper is that the values be (co-)acyclic sets, i.e., that the reduced Alexander cohomology group of each of these sets be trivial in each dimension. |
| Related Links | https://www.ams.org/proc/1972-031-02/S0002-9939-1972-0287535-2/S0002-9939-1972-0287535-2.pdf |
| Ending Page | 563 |
| Page Count | 7 |
| Starting Page | 557 |
| ISSN | 00029939 |
| e-ISSN | 10886826 |
| DOI | 10.2307/2037571 |
| Journal | Proceedings of the American Mathematical Society |
| Issue Number | 2 |
| Volume Number | 31 |
| Language | English |
| Publisher | Duke University Press |
| Access Restriction | Open |
| Subject Keyword | Mathematical Physics Infinite Dimensional Valued Maps Set Valued Dimensional Spaces |
| Content Type | Text |
| Resource Type | Article |
| Subject | Applied Mathematics |