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The 5th Hilbert-Problem

✍ Scribed by H. Boseck

Publisher
John Wiley and Sons
Year
1975
Tongue
English
Weight
148 KB
Volume
67
Category
Article
ISSN
0025-584X

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✦ Synopsis

In this paper we shall give a short and intrinsic solution of the 5th HILBERTproblem, stating that any locally euclidean topological group is a Lie-group.

The proof is based on the famous theorern of YAMABE [6] and a structure theorem c.oncerning connected LP-groups with finite-dimensional Lie-algebra proved by

πŸ“œ SIMILAR VOLUMES

Hilbert's 17th Problem for Real Closed R
Hilbert's 17th Problem for Real Closed Rings
✍ Larry Mathews πŸ“‚ Article πŸ“… 1994 πŸ› John Wiley and Sons 🌐 English βš– 594 KB

## Abstract We recall the characterisation of positive definite polynomial functions over a real closed ring due to Dickmann, and give a new proof of this result, based upon ideas of Abraham Robinson. In addition we isolate the class of convexly ordered valuation rings for which this characterisati