𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Singularities of o-minimal Peano derivatives

✍ Scribed by Andreas Fischer

Publisher
John Wiley and Sons
Year
2010
Tongue
English
Weight
193 KB
Volume
283
Category
Article
ISSN
0025-584X

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

The notion of Peano differentiability generalizes the differentiability in the usual sense to higher order. Peano differentiable functions have derivatives which are sometimes differentiable or continuous or not even locally bounded. We give a complete characterisation of the sets in which Peano differentiable functions which are definable in an o‐minimal expansion of a real closed field are continuously differentiable. Thereby, we also distinguish between several kinds of discontinuities (Β© 2010 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

πŸ“œ SIMILAR VOLUMES

On properties of peano derivates
On properties of peano derivates
✍ P. S. Chakrabarti πŸ“‚ Article πŸ“… 1978 πŸ› Akadmiai Kiad 🌐 English βš– 559 KB
Substructure lattices and almost minimal
Substructure lattices and almost minimal end extensions of models of Peano arithmetic
✍ James H. Schmerl πŸ“‚ Article πŸ“… 2004 πŸ› John Wiley and Sons 🌐 English βš– 141 KB πŸ‘ 1 views

## Abstract This paper concerns intermediate structure lattices Lt(𝒩/ℳ︁), where 𝒩 is an almost minimal elementary end extension of the model ℳ︁ of Peano Arithmetic. For the purposes of this abstract only, let us say that ℳ︁ attains __L__ if __L__ β‰… Lt(𝒩/ℳ︁) for some almost minimal elementary end ex