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Fat homeomorphisms and unbounded derivate containers

Authors: Warga, J;

Fat homeomorphisms and unbounded derivate containers

Abstract

AbstractWe generalize local and global inverse function theorems to continuous transformations in Rn, replacing nonexistent derivatives by set-valued “unbounded derivate containers.” We also construct and study unbounded and ordinary derivate containers, including extensions of generalized Jacobians.

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Keywords

Implicit function theorems, Jacobians, transformations with several variables, unbounded derivate containers, generalized Jacobians, set-valued derivatives, Applied Mathematics, Continuity and differentiation questions, Analysis, generalization of local and global inverse function theorems

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
92
Top 10%
Top 1%
Top 10%
hybrid