We prove a quantitative openness theorem for C^1 submersions under suitable assumptions on the differential. We then apply our result to a class of exponential maps appearing in Carnot-Carathéodory spaces, and we improve a classical completeness result by Palais
We provide several equivalences to the regularity of closed set-valued maps around a point in genera...
The preservation of various completeness properties in the quasi-metric (and quasi-uniform) setting ...
Contains fulltext : 129067.pdf (publisher's version ) (Open Access
We prove a quantitative openness theorem for C^1 submersions under suitable assumptions on the diffe...
AbstractAmong other things it is proved that the set of all open mappings between compacta X and Y i...
AbstractThis paper contains general open mapping theorems for families of multifunctions in quasimet...
AbstractAn approximate open mapping principle for multifunctions between metric spaces with closed g...
The well-known finite-dimensional first-order open mapping theorem says that a continuous map with a...
Saint Raymond asked whether continuously differentiable maps with isolated critical points are neces...
After a brief presentation of Carnot groups, we define the extended end-point map and show the relat...
The paper gives sufficient conditions for projections of certain pseudoconcave sets to be open. More...
AbstractWe introduce and study some completeness properties for systems of open coverings of a given...
It is certainly well known that a mapping between metric spaces is continuous if and only if it pres...
AbstractWe establish an open mapping theorem which is independent of continuity and linearity of con...
AbstractWe provide several equivalences to the regularity of closed set-valued maps around a point i...
We provide several equivalences to the regularity of closed set-valued maps around a point in genera...
The preservation of various completeness properties in the quasi-metric (and quasi-uniform) setting ...
Contains fulltext : 129067.pdf (publisher's version ) (Open Access
We prove a quantitative openness theorem for C^1 submersions under suitable assumptions on the diffe...
AbstractAmong other things it is proved that the set of all open mappings between compacta X and Y i...
AbstractThis paper contains general open mapping theorems for families of multifunctions in quasimet...
AbstractAn approximate open mapping principle for multifunctions between metric spaces with closed g...
The well-known finite-dimensional first-order open mapping theorem says that a continuous map with a...
Saint Raymond asked whether continuously differentiable maps with isolated critical points are neces...
After a brief presentation of Carnot groups, we define the extended end-point map and show the relat...
The paper gives sufficient conditions for projections of certain pseudoconcave sets to be open. More...
AbstractWe introduce and study some completeness properties for systems of open coverings of a given...
It is certainly well known that a mapping between metric spaces is continuous if and only if it pres...
AbstractWe establish an open mapping theorem which is independent of continuity and linearity of con...
AbstractWe provide several equivalences to the regularity of closed set-valued maps around a point i...
We provide several equivalences to the regularity of closed set-valued maps around a point in genera...
The preservation of various completeness properties in the quasi-metric (and quasi-uniform) setting ...
Contains fulltext : 129067.pdf (publisher's version ) (Open Access
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