Search results for "Sunyer Balaguer's Theorem"

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A property of connected Baire spaces

1997

Abstract We give a topological version of a classical result of F. Sunyer Balaguer's on a local characterization of real polynomials. This is done by studying a certain property on a class of connected Baire spaces, thus allowing us to obtain a local characterization of repeated integrals of analytic maps on Banach spaces.

Discrete mathematicsLocally connectedBanach spaceBaire category theoremGeometry and TopologyBaire spaceBaire spaceOpen mapping theorem (functional analysis)Baire measureSunyer Balaguer's TheoremComplete metric spaceMathematicsTopology and its Applications
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