Wiesław Pawłucki

Michael's selection theorem for a mapping definable in an o-minimal structure defined on a set of dimesion 1

Let

Michael’s theorem for Lipschitz cells in o-minimal structures

R

Approximation and Extension of C∞ Functions Defined on Compact Subsets of ℂn

be a real closed field and let some o-minimal structure extending

Extension of

R

C^{∞}

be given. Let

functions from sets with polynomial cusps

F\colon X \rightrightarrows R^m

Higher-order tangents and Fefferman's paper on Whitney's extension problem

be a definable multivalued lower semicontinuous mapping with nonempty definably connected values defined on a definable subset

Differentiable functions defined in closed sets. A problem of Whitney

X

Composite differentiable functions

of

On Gabrielov’s regularity condition for analytic mappings

R^n