Peano differentiable extensions in o-minimal structures
نویسندگان
چکیده
منابع مشابه
Peano Differentiable Extensions in O-minimal Structures
Peano differentiability generalizes ordinary differentiability to higher order. There are two ways to define Peano differentiability for functions defined on non-open sets. For both concepts, we investigate the question under which conditions a function defined on a closed set can be extended to a Peano differentiable function on the ambient space if the sets and functions are definable in an o...
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A proper elementary extension of a model is called small if it realizes no new types over any finite set in the base model. We answer a question of Marker, and show that it is possible to have an o-minimal structure with a maximal small extension. Our construction yields such a structure for any cardinality. We show that in some cases, notably when the base structure is countable, the maximal s...
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ژورنال
عنوان ژورنال: advg
سال: 2009
ISSN: 1615-7168,1615-715X
DOI: 10.1515/advgeom.2009.026