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Fixed point indices in locally convex spaces
- Source :
- Advances in Mathematics. 14:73-91
- Publication Year :
- 1974
- Publisher :
- Elsevier BV, 1974.
-
Abstract
- The primary objective of this paper is to show that semicomplex structures may be employed to define a local fixed point index on the category whose objects are all finite unions of compact, convex subsets of locally convex topological vector spaces and whose morphisms are all continuous maps between its objects. This is established via the use of the lc∗ spaces introduced by Lefschetz to generalize absolute neighborhood retracts.
Details
- ISSN :
- 00018708
- Volume :
- 14
- Database :
- OpenAIRE
- Journal :
- Advances in Mathematics
- Accession number :
- edsair.doi.dedup.....82cd2801e3a3c35a30f1fe2905db32e0